NCERT Exemplar Class 9 Science Chapter 9 – Force and laws of motion – Free PDF Download
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NCERT Exemplar Class 9 Science Chapter 8 – Motion – Free PDF Download
Hey, are you a class 9 student? and looking for ways to download NCERT Exemplar Class 9 Science Chapter 8 “Motion”? If yes. Then read this post till the end.

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NCERT Exemplar Class 9 Science Chapter 7 – Diversity in Living Organisms – Free PDF Download
Hey, are you a class 9 student? and looking for ways to download NCERT Exemplar Class 9 Science Chapter 7 “Diversity in Living Organisms”? If yes. Then read this post till the end.

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Class 9 Science Revision Notes

NCERT Class 9 Science Book

CBSE Class 9 Science Syllabus

NCERT Exemplar Class 9 Science

NCERT Exemplar Class 9 Maths

NCERT Solutions for Class 9 Science

NCERT Solutions for Class 9 Maths

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NCERT Exemplar Class 9 Science Chapter 6 – Tissues – Free PDF Download
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NCERT Exemplar Class 9 Science Chapter 5 – The Fundamental Unit of Life – Free PDF Download
Hey, are you a class 9 student? and looking for ways to download NCERT Exemplar Class 9 Science Chapter 5 “The Fundamental Unit of Life”? If yes. Then read this post till the end.

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NCERT Exemplar Class 9 Science Chapter 4 – Structure of the Atom – Free PDF Download
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NCERT Exemplar Class 9 Science Chapter 3 – Atoms and Molecules – Free PDF Download
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NCERT Exemplar Class 9 Science Chapter 2 – Is Matter Around Us Pure – Free PDF Download
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NCERT Exemplar Class 9 Science Chapter 1 – Matter in Our Surroundings – Free PDF Download
Hey, are you a class 9 student? and looking for ways to download NCERT Exemplar Class 9 Science Chapter 1 “Matter in Our Surroundings” in PDF? If yes. Then read this post till the end.

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Class 9 Science Revision Notes

NCERT Class 9 Science Book PDF

CBSE Class 9 Science Syllabus

NCERT Exemplar Class 9 Science

NCERT Exemplar Class 9 Maths

NCERT Solutions for Class 9 Science

NCERT Solutions for Class 9 Maths

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NCERT Solutions for Class 9 Science PDF – All Chapters – Free PDF Download
Hey are you a class 9 Student and looking for ways to Download NCERT Solutions for Class 9 Science PDF to start your Preparations? If yes then Don’t worry you are at the right place.

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CBSE Class 9 Science syllabus

 S No. Units Marks 1 Matter – Its Nature and Behaviour 23 2 Organization in the Living World 20 3 Motion, Force and Work 27 4 Our Environment 06 5 Food, Food Production 04 Total 80 Internal Assessment 20 Grand Total 100

CBSE Class 9 Science Chapters

• Nature of matter
• Particle nature, basic units
• Structure of atoms
• Cell – Basic Unit of life
• Tissues, Organs, Organ System, Organism
• Health and Diseases
• Motion
• Force and Newton’s laws
• Gravitation
• Work, energy and power
• Physical resources

Benefits of NCERT Solutions For Class 9 Science

If you want to score high in your class 9 Science Exam then you can use NCERT Class 9 Books and Solutions as your Main study Material. To download Solutions PDF of any Chapter Simply click on the Link of that Particular chapter.

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NCERT Solutions for Class 9 Maths PDF – All Chapters – Free PDF Download
Hey are you a class 9 Student and looking for ways to Download NCERT Solutions for Class 9 Maths PDF to start your Preparations? If yes then Don’t worry you are at the right place.

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In this post We have listed NCERT Solutions for Class 9 Maths all Chapters in PDF Form that are prepared by Kota’s top IITian’s Faculties in a well Structured Format by keeping Simplicity in mind.

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Chapter 1 – Number Systems

In this Chapter You will learn multiple important topics such as Rational Number and Irrational Numbers After Completing this chapter you can represent integrals, Rational and Irrational Numbers in a line.

Chapter 2 – Polynomials

In this Chapter you will learn about the Variables and coefficients and there operations of Multiplication, subtraction, and Additions. After completing this chapter you will get the idea about Polynomials, coefficients, Degrees and different terms of Polynomials

Chapter 3 – Coordinate Geometry

In Chapter 3 Coordinate Geometry you will learn about the concepts of Coordinates of a point in a plane, Cartesian plane, X-axis, Y-axis Quadrants, X-coordinate, Y-coordinate, and Many more.

Chapter 4 – Linear Equations in Two Variables

In this Chapter you will learn about Linear Equations in Two Variables and how to create a graph of Linear Equations in Two Variables.

Chapter 5 – Introduction to Euclid’s Geometry

In this Chapter you will learn about the Euclid’s Geometry. In this Chapter you will get two Exercise that will help you to understand deeply about the Euclid’s Geometry.

Chapter 6 – Lines and Angles

In Chapter 6 you will learn about the Lines and Angles. There are three Exercise in this chapter which will help you to understand Deeply about the Lines and Angles.

Chapter 7 – Triangles

In this Chapter you will learn about the Triangles. In this Chapter you will get Four Exercise that will help you to understand deeply about the Triangles.

Chapter 9 – Areas of Parallelograms and Triangles

In Chapter 9 you will learn about the Areas of Parallelograms and Triangles. There are three Exercise in this chapter which will help you to understand Deeply about the Areas of Parallelograms and Triangles.

Chapter 10 – Circles

In this Chapter you will learn about the Multiple Concepts related to Circles. There are Five Exercise in this chapter which will help you to understand Deeply about the Circles.

Chapter 11 – Constructions

In Chapter 11 you will learn about the Constructions. There are two Exercise in this chapter which will help you to understand Deeply about the Constructions.

Chapter 12 – Heron’s Formula

In this Chapter you will learn about the Hero’s Formula. In this Chapter you will get two Exercise that will help you to understand deeply about the Heron’s Formula.

Chapter 13 – Surface Area and Volumes

In Chapter 13 you will learn about the Surface Area and Volumes. There are Eight Exercise in this chapter which will help you to understand Deeply about the Surface Area and Volume.

Chapter 14 – Statistics

In this Chapter you will learn about the Statistics. In this Chapter you will get Four Exercise that will help you to understand deeply about the Statistics.

Chapter 15 – Probability

In Chapter 15 you will learn about the Probability. In this Chapter you will get one Exercise that will help you to understand deeply about the Probability.

NCERT Class 9 Math Syllabus with Marks

 S No. Units Marks 1 Number Systems 08 2 Algebra 17 3 Coordinate Geometry 04 4 Geometry 28 5 Mensuration 13 6 Statistics and Probability 10

Class 9 Maths All Chapters

• Real Numbers
• Polynomials
• Linear Equations in Two Variables
• Coordinate Geometry
• Lines and Angles
• Triangles
• Circles
• Constructions
• Areas
• Surface Areas and Volumes
• Statistics
• Probability

Benefits of NCERT Solutions For Class 9 Math

If you want to score high in your class 9 Maths Exam then you can use NCERT Class 9 Books and Solutions as your Main study Material. To download Solutions PDF of any Chapter Simply click on the of the Particular chapter.

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NCERT Solutions for Class 9 Maths chapter 15 Exercise 15.1 – Probability
Hey, are you a class 9 Student and Looking for Ways to Download NCERT Solutions for Class 9 Maths chapter 15 Exercise 15.1? If Yes then you are at the right place.

Here we have listed Class 9 maths chapter 15 exercise 15.1 solutions in PDF that is prepared by Kota’s top IITian’s Faculties by keeping Simplicity in mind.

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Download The PDF of NCERT Solutions for Class 9 Maths chapter 15 Exercise 15.1 “Probability”

All Questions of Chapter 15 Exercise 15.1

Once you complete the chapter 15 then you can revise Ex. 15.1 by solving following questions

Q1. In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays. Find the probability that she did not hit a boundary.

Q2. 1500 families with 2 children were selected randomly, and the following data were recorded:

Compute the probability of a family, chosen at random, having (i) 2 girls (ii) 1 girl (iii) No girl Also check whether the sum of these probabilities is 1.

Q3. Refer to Example 5, Section 14.4, Chapter 14 of NCERT. Find the probability that a student of the class was born in August. The statement of the data in the example is stated as below : In a particular section of class IX, 40 students were asked about the months of their birth and the following graph was prepared to represent the data:

Q4. Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes:

If the three coins are simultaneously tossed again, compute the probability of 2 heads coming up.

Q5. An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:

Suppose a family is chosen. Find the probability that the family chosen is
(i) earning Rs. 10000 – 13000 per month and owning exactly 2 vehicles.
(ii) earning Rs. 16000 or more per month and owning exactly 1 vehicle.
(iii) earning less than Rs. 7000 per month and does not own any vehicle.
(iv) earning Rs. 13000 – 16000 per month and owning more than 2 vehicles.
(v) owning not more than 1 vehicle.

Q6. Refer to chapter 14 (NCERT), the table below:

(i) Find the probability that a student obtained less than 20% in the mathematics test.
(ii) Find the probability that a student obtained marks 60 or above.

Q7. To know the opinion of the student about the subject statistics, a survey of 200 students was conducted.
The data is recorded in the following table.

Find the probability that a student chosen at random
(i) likes statistics,
(ii) does not like it.

Q8. Refer to Q.2, Exercise $14.2$ (NCERT). What is the empirical probability that an engineer life?
(i) less than $7 \mathrm{~km}$ from her place of work?
(ii) more than or equal to $7 \mathrm{~km}$ from her place of work?
(iii) within $\frac {1}{2} \mathrm{~km}$ from her place of work?

Q9. Activity: Note the frequency of two-wheelers, three-wheelers and four-wheelers going past during a time, interval, in front of your school gate. Find the probability that any one vehicle out of the total vehicles you have observed is a two-wheeler.

Q10. Activity: Ask all the students in your class to write a 3-digit number. Choose any student from the room at random. What is the probability that the number written by her/him is divisible by 3? Remember that a number is divisible by 3, if the sum of its digits is divisible by 3.

Q11. Eleven bags of wheat flour, each marked $5 \mathrm{~kg}$, actually contained the following weights of flour (in kg):
$\begin{array}{ccccccccccc}4 \cdot 97 & 5 \cdot 05 & 5 \cdot 08 & 5 \cdot 03 & 5 \cdot 00 & 5 \cdot 06 & 5 \cdot 08 & 4 \cdot 98 & 5 \cdot 04 & 5 \cdot 07 & 5 \cdot 00\end{array}$
Find the probability that any of these bags chosen at random contains more than $5 \mathrm{~kg}$ of flour.

Q12. In Q. 5, Exercise $14.2$ (NCERT), you were asked to prepare a frequency distribution table, regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days. Using this table, find the probability of the concentration of sulphur dioxide in the interval $0 \cdot 12-0 \cdot 16$ on any of these days.

Q13. In Q.1, Exercise $14.2$ (NCERT), you were asked to prepare a frequency distribution table regarding the blood groups of 30 students of a class. Use this table to determine the probability that a student of this class, selected at random, has blood group $\mathrm{AB}$.

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NCERT Solutions for Class 9 Maths chapter 14 Exercise 14.4 – Statistics
Hey, are you a class 9 Student and Looking for Ways to Download NCERT Solutions for Class 9 Maths chapter 14 Exercise 14.4? If Yes then you are at the right place.

Here we have listed Class 9 maths chapter 14 exercise 14.4 solutions in PDF that is prepared by Kota’s top IITian’s Faculties by keeping Simplicity in mind.

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Download The PDF of NCERT Solutions for Class 9 Maths chapter 14 Exercise 14.4 “Statistics”

All Questions of Chapter 14 Exercise 14.4

Once you complete the chapter 14 then you can revise Ex. 14.4 by solving following questions

Q1. The following number of goals were scored by a team in a series of 10 matches : 2, 3, 4, 5, 0, 1, 3, 3, 4, 3
Find the mean, rnedian and mode of these scores.

Q2. In a mathematics, test given to 15 students, the following marks (out of 100) are recorded: 41, 39, 48. 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
Find the mean, median and mode of this data.

Q3. The following observations have been arranged in ascending order. If the median of the data is
63. Find the value of x : 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95

Q4. Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.

Q5. Find the mean salary of 60 workers of a factory from the following table:

Q6. Give one example of a situation in which
(I) The mean is an appropriate measure of central tendency.
(ii) The mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

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NCERT Solutions for Class 9 Maths chapter 14 Exercise 14.3 – Statistics
Hey, are you a class 9 Student and Looking for Ways to Download NCERT Solutions for Class 9 Maths chapter 14 Exercise 14.3? If Yes then you are at the right place.

Here we have listed Class 9 maths chapter 14 exercise 14.3 solutions in PDF that is prepared by Kota’s top IITian’s Faculties by keeping Simplicity in mind.

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Download The PDF of NCERT Solutions for Class 9 Maths chapter 14 Exercise 14.3 “Statistics”

All Questions of Chapter 14 Exercise 14.3

Once you complete the chapter 14 then you can revise Ex. 14.3 by solving following questions

Q1. A survey conducted by an organization for the cause of illness and death among the women between the ages 15 – 44 (in years) worldwide, found the following figures (in %):

(i) Represent the information given above graphically.
(ii) Which condition is the major cause of women’s ill health and death worldwide?
(iii) Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii) above being the major cause.

Q2. The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below.
$\begin{array}{lc}\text {Section} & \text {Number of girls per throusand boys} \\ \text {Scheduled Caste (SC) } & 940 \\ \text { Scheduled Tribe (ST) } & 970 \\ \text { Non SC/ST } & 920 \\ \text { Backward districts } & 950 \\ \text { Non-backward districts } & 920 \\ \text { Rural } & 930 \\ \text { Urban } & 910\end{array}$
(i) Represent the information above by a bar graph.
(ii) In the classroom discuss what conclusions can be arrived at from the graph.

Q3. Given below are the seats won by different political parties in the polling outcome of a state assembly elections:
Political Party A B C D E F
Seats Won 75 55 37 29 10 37
(i) Draw a bar graph to represent the polling results.
(ii) Which political party won the maximum number of seats?

Q4. The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table:

(i) Draw a histogram to represent the given data.
(ii) Is there any other suitable graphical representation for the same data?
(iii) Is it correct to conclude that the maximum number of leaves are 153 mm long? Why?

Q5. The following table gives the life times of 400 neon lamps:

(i) Represent the given information with the help of a histogram.
(ii) How many lamps have a life time of more than 700 hours?

Q6. The following table gives the distribution of students of two sections according to the marks obtained by them:

Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections. Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.

Q7. The runs scored by two teams $\mathrm{A}$ and $\mathrm{B}$ on the first 60 balls in a cricket match are given below:

Represent the data of both the teams on the same graph by frequency polygons. [Hint: First make the class intervals continuous.]

Q8. A random survey of the number of children of various age groups playing in a park was found as follows:

Draw a histogram to represent the data above.

Q9. 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

(i) Draw a histogram to depict the given information.
(ii) Write the class interval in which the maximum number of surnames lie.

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NCERT Solutions for Class 9 Maths chapter 14 Exercise 14.2 – Statistics
Hey, are you a class 9 Student and Looking for Ways to Download NCERT Solutions for Class 9 Maths chapter 14 Exercise 14.2? If Yes then you are at the right place.

Here we have listed Class 9 maths chapter 14 exercise 14.2 solutions in PDF that is prepared by Kota’s top IITian’s Faculties by keeping Simplicity in mind.

If you want to score high in your class 9 Maths Exam then it is very important for you to have a good knowledge of all the important topics, so to learn and practice those topics you can use eSaral NCERT Solutions.

So, without wasting more time Let’s start.

Download The PDF of NCERT Solutions for Class 9 Maths chapter 14 Exercise 14.2 “Statistics”

All Questions of Chapter 14 Exercise 14.2

Once you complete the chapter 14 then you can revise Ex. 14.2 by solving following questions

Q1. The blood groups of 30 students of Class VIII are recorded as follows:
$\mathrm{A}, \mathrm{B}, \mathrm{O}, \mathrm{O}, \mathrm{AB}, \mathrm{O}, \mathrm{A}, \mathrm{O}, \mathrm{B}, \mathrm{A}, \mathrm{O}, \mathrm{B}, \mathrm{A}, \mathrm{O}, \mathrm{O}$
$\mathrm{A}, \mathrm{AB}, \mathrm{O}, \mathrm{A}, \mathrm{A}, \mathrm{O}, \mathrm{O}, \mathrm{AB}, \mathrm{B}, \mathrm{A}, \mathrm{O}, \mathrm{B}, \mathrm{A}, \mathrm{B}, \mathrm{O} .$
Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?
\begin{aligned}
&\text

{Q2. The distance (in} \mathrm{km} \text {) of} 40 \text {engineers from their residence to their place of work were found as} \\
&\begin{array}{llllllllll}
\text {follows:} & & & & & & & & \\ 5 & 3 & 10 & 20 & 25 & 11 & 13 & 7 & 12 & 31 \\ 19 & 10 & 12 & 17 & 18 & 11 & 32 & 17 & 16 & 2 \\ 7 & 9 & 7 & 8 & 3 & 5 & 12 & 15 & 18 & 3 \\ 12 & 14 & 2 & 9 & 6 & 15 & 15 & 7 & 6 & 12
\end{array}
\end{aligned}
Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as $0-5$ (5 not included). What main features do you observe from this tabular representation?

Q3. The relative humidity (in %) of a certain city for a month of 30 days was as follows:
$\begin{array}{lllllllllll}98.1 & 98.6 & 99.2 & 90.3 & 86.5 & 95.3 & 92.9 & 96.3 & 94.2 & 95.1 & 89.2 \\ 92.3 & 97.1 & 93.5 & 92.7 & 95.1 & 97.2 & 93.3 & 95.2 & 97.3 & 96.2 & 92.1 \\ 84.9 & 90.2 & 95.7 & 98.3 & 97.3 & 96.1 & 92.1 & 89 & & & \end{array}$
(i) Construct a grouped frequency distribution table with classes $84-86,86-88$, etc.
(ii) Which month or season do you think this data is about?
(iii) What is the range of this data?

Q4. The heights of 50 students, measured to the nearest centimetres, have been found to be as follows:
$\begin{array}{llllllll}161 & 150 & 154 & 165 & 168 & 161 & 154 & 162 \\ 150 & 151 & 162 & 164 & 171 & 165 & 158 & 154 \\ 156 & 172 & 160 & 170 & 153 & 159 & 161 & 170 \\ 162 & 165 & 166 & 168 & 165 & 164 & 154 & 152 \\ 153 & 156 & 158 & 162 & 160 & 161 & 173 & 166 \\ 161 & 159 & 162 & 167 & 168 & 159 & 158 & 153 \\ 154 & 159 & & & & & & \end{array}$
(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as $160-165,165-170$, etc.
(ii) What can you conclude about their heights from the table?

Q5. A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows:
$\begin{array}{llllllll}0.03 & 0.08 & 0.08 & 0.09 & 0.04 & 0.17 & 0.16 & 0.05 \\ 0.02 & 0.06 & 0.18 & 0.20 & 0.11 & 0.08 & 0.12 & 0.13 \\ 0.22 & 0.07 & 0.08 & 0.01 & 0.10 & 0.06 & 0.09 & 0.18 \\ 0.11 & 0.07 & 0.05 & 0.07 & 0.01 & 0.04 & & \end{array}$
(i) Make a grouped frequency distribution table for this data with class intervals as $0.00-0.04,0.04-0.08$, and so on.
(ii) For how many days, was the concentration of sulphur dioxide more than $0.11$ parts per million?

Q6. Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:
$\begin{array}{rrrrrrrrrr}0 & 1 & 2 & 2 & \mathrm{I} & 2 & 3 & 1 & 3 & 0 \\ 1 & 3 & 1 & 1 & 2 & 2 & 0 & 1 & 2 & 1 \\ 3 & 0 & 0 & 1 & 1 & 2 & 3 & 2 & 2 & 0\end{array}$ Prepare a frequency distribution table for the data given above.

Q7. The value of $\pi$ upto 50 decimal places is given below:
$3.14159265358979323846264338327950288419716939937510$
(i) Make a frequency distribution of the digits from 0 to 9 after the decimal point.
(ii) What are the most and the least frequently occurring digits?

Q8. Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
$\begin{array}{llllllllll}1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 \\ 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 \\ 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12\end{array}$
(i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as $5-10$.
(ii) How many children watched television for 15 or more hours a week?

Q9. A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:
$\begin{array}{llllllllllll}2.6 & 3.0 & 3.7 & 3.2 & 2.2 & 4.1 & 3.5 & 4.5 & 3.5 & 2.3 & 3.2 & 3.4 \\ 3.8 & 3.2 & 4.6 & 3.7 & 2.5 & 4.4 & 3.4 & 3.3 & 2.9 & 3.0 & 4.3 & 2.8 \\ 3.5 & 3.2 & 3.9 & 3.2 & 3.2 & 3.1 & 3.7 & 3.4 & 4.6 & 3.8 & 3.2 & 2.6 \\ 3.5 & 4.2 & 2.9 & 3.6 & & & & & & & & \end{array}$
Construct a grouped frequency distribution table for this data, using class intervals of size $0.5$ starting from the interval $2-2.5$.

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NCERT Solutions for Class 9 Maths chapter 14 Exercise 14.1 – Statistics
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Here we have listed Class 9 maths chapter 14 exercise 14.1 solutions in PDF that is prepared by Kota’s top IITian’s Faculties by keeping Simplicity in mind.

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Download The PDF of NCERT Solutions for Class 9 Maths chapter 14 Exercise 14.1 “Statistics”

All Questions of Chapter 14 Exercise 14.1

Once you complete the chapter 14 then you can revise Ex. 14.1 by solving following questions

Q1. Give five examples of data that you can collect from your day-to-day life.

Q2. Classify the data in Q.1 above as primary or secondary data.

Class 9 Maths Chapter 13 Exercise 13.1 Solutions PDF

Class 9 Maths Chapter 13 Exercise 13.2 Solutions PDF

Class 9 Maths Chapter 13 Exercise 13.3 Solutions PDF

Class 9 Maths Chapter 13 Exercise 13.4 Solutions PDF

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NCERT Solutions for Class 9 Maths chapter 13 Exercise 13.8 – Surface Areas and Volumes
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Here we have listed Class 9 maths chapter 13 exercise 13.8 solutions in PDF that is prepared by Kota’s top IITian’s Faculties by keeping Simplicity in mind.

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Download The PDF of NCERT Solutions for Class 9 Maths chapter 13 Exercise 13.8 “Surface Areas and Volumes”

All Questions of Chapter 13 Exercise 13.8

Once you complete the chapter 13 then you can revise Ex. 13.8 by solving following questions

Q1. Find the volume of a sphere whose radius is
(i) $7 \mathrm{~cm}$
(ii) $0.63 \mathrm{~m}$

Q2. (i) Find the amount of water displaced by a solid spherical ball of diameter 28 cm.

Q3. The diameter of a metallic ball is $4.2 \mathrm{~cm}$. What is the mass of the ball, if the density of the metal is $8.9 \mathrm{~g}$ per $\mathrm{cm}^{3}$ ?

Q4. The diameter of the moon is approximately one-fourth the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

Q5. How many Iitres of milk can a hemispherical bowl of diameter 10.5 cm hold?

Q6. A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.

Q7. Find the volume of a sphere whose surface area is $154 \mathrm{~cm} ^ {2}$.

Q8. A dome of a building is in the form of a hemisphere. From inside, it was white washed at the cost of Rs. 498.96. if the cost of white washing is Rs. $2.00$ per square metre, find the
(i) Inside surface area of the dome,
(ii) Volume of the air inside the dome.

Q9. Twenty seven solid iron spheres, each of radius $\mathrm{r}$ and surface area $\mathrm{S}$ are melted to form a sphere with surface area $\mathrm{S}^{\prime}$. Find the
(i) radius $\mathrm{r}^{\prime}$ of the new sphere,
(ii) ratio of $\mathrm{S}$ and $\mathrm{S}$ ‘.

Q10. A capsule of medicine is in the shape of a sphere of diameter $3.5 \mathrm{~mm}$. How much medicine (in $\mathrm{mm}^{3}$ ) is needed to fill this capsule?

NCERT Class 9 Maths Book PDF

NCERT Class 9 Maths Exemplar PDF

Complete Solutions for Class 9 Maths chapter 13 PDF

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NCERT Solutions for Class 9 Maths chapter 13 Exercise 13.7 – Surface Areas and Volumes
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Here we have listed Class 9 maths chapter 13 exercise 13.7 solutions in PDF that is prepared by Kota’s top IITian’s Faculties by keeping Simplicity in mind.

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Download The PDF of NCERT Solutions for Class 9 Maths chapter 13 Exercise 13.7 “Surface Areas and Volumes”

All Questions of Chapter 13 Exercise 13.7

Once you complete the chapter 13 then you can revise Ex. 13.7 by solving following questions

Q1. Find the volume of the right circular cone with
(i) radius $6 \mathrm{~cm}$, height $7 \mathrm{~cm}$
(ii) radius $3.5 \mathrm{~cm}$, height $12 \mathrm{~cm}$

Q2. Find the capacity in litres of a conical vessel with
(i) radius $7 \mathrm{~cm}$, slant height $25 \mathrm{~cm}$.
(ii) height $12 \mathrm{~cm}$, slant height $13 \mathrm{~cm}$.

Q3. The height of a cone is $15 \mathrm{~cm}$. If its volume is $1570 \mathrm{~cm}^{3}$, find the radius of the base. (Use $\pi=3.14$)

Q4. If the volume of a right circular cone of height $9 \mathrm{~cm}$ is $48 \pi \mathrm{cm}^{3}$, find the diameter of its base.

Q5. A conical pit of top diameter $3.5 \mathrm{~m}$ is $12 \mathrm{~m}$ deep. What is its capacity in kiloliters?

Q6. The volume of a right circular cone is $9856 \mathrm{~cm}^{3}$. If the diameter of the base is $28 \mathrm{~cm}$, find
(i) height of the cone
(ii) slant height of the cone
(iii) curved surface area of the cone

Q7. A right triangle $\mathrm{ABC}$ with sides $5 \mathrm{~cm}, 12 \mathrm{~cm}$ and $13 \mathrm{~cm}$ is revolved about the side $12 \mathrm{~cm}$. Find the volume of the solid so obtained.

Q8. If the triangle $\mathrm{ABC}$ in the question 7 above is revolved about the side $5 \mathrm{~cm}$, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained in Question 7 and 8.

Q9. A heap of wheat is in the form of a cone whose diameter is $10.5 \mathrm{~m}$ and height is $3 \mathrm{~m}$. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.

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NCERT Solutions for Class 9 Maths chapter 13 Exercise 13.6 – Surface Areas and Volumes
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Here we have listed Class 9 maths chapter 13 exercise 13.6 solutions in PDF that is prepared by Kota’s top IITian’s Faculties by keeping Simplicity in mind.

If you want to score high in your class 9 Maths Exam then it is very important for you to have a good knowledge of all the important topics, so to learn and practice those topics you can use eSaral NCERT Solutions.

So, without wasting more time Let’s start.

Download The PDF of NCERT Solutions for Class 9 Maths chapter 13 Exercise 13.6 “Surface Areas and Volumes”

All Questions of Chapter 13 Exercise 13.6

Once you complete the chapter 13 then you can revise Ex. 13.6 by solving following questions

Q1. The circumference of the base of a cylindrical vessel is $132 \mathrm{~cm}$ and its height is $25 \mathrm{~cm}$. How many litres of water can it hold? $\left (1000 \mathrm{~cm} ^ {3} =1 \ell\right)$

Q2. The inner diameter of a cylindrical wooden pipe is $24 \mathrm{~cm}$ and its outer diameter is $28 \mathrm{~cm}$. The length of the pipe is $35 \mathrm{~cm}$. Find the mass of the pipe, if $1 \mathrm{~cm} ^ {3}$ of wood has a mass of $0.6 \mathrm{~g}$.

Q3. A soft drink is available in two packs – (i) a tin can with a rectangular base of length $5 \mathrm{~cm}$ and width $4 \mathrm{~cm}$, having a height of $15 \mathrm{~cm}$ and (ii) a plastic cylinder with circular base of diameter $7 \mathrm{~cm}$ and height $10 \mathrm{~cm}$. Which container has greater capacity and by how much?

Q4. If the lateral surface of a cylinder is $94.2 \mathrm{~cm} ^ {2}$ and its height is $5 \mathrm{~cm}$, then find
(ii) its volume. (Use $\pi=3.14$)

Q5. It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel $10 \mathrm{~m}$ deep. If the cost of painting is at the rate of Rs. 20 per $\mathrm{m}^ {2}$, find
(i) Inner curved surface area of the vessel,
(iii) Capacity of the vessel.

Q6. The capacity of a closed cylindrical vessel of height $1 \mathrm{~m}$ is $15.4$ litres. How many square metres of metal sheet would be needed to make it?

Q7. A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is $7 \mathrm{~mm}$ and the diameter of the graphite is $1 \mathrm{~mm}$. If the length of the pencil is $14 \mathrm{~cm}$, find the volume of the wood and that of the graphite.

Q8. A patient in a hospital is given soup daily in a cylindrical bowl of diameter $7 \mathrm{~cm}$. If the bowl is filled with soup to a height of $4 \mathrm{~cm}$, how much soup the hospital has to prepare daily to serve 250 patients?

If you have any Confusion related to NCERT Solutions for Class 9 Maths chapter 13 Exercise 13.6 then feel free to ask in the comments section down below.

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NCERT Solutions for Class 9 Maths chapter 13 Exercise 13.5 – Surface Areas and Volumes
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Here we have listed Class 9 maths chapter 13 exercise 13.5 solutions in PDF that is prepared by Kota’s top IITian’s Faculties by keeping Simplicity in mind.

If you want to score high in your class 9 Maths Exam then it is very important for you to have a good knowledge of all the important topics, so to learn and practice those topics you can use eSaral NCERT Solutions.

So, without wasting more time Let’s start.

Download The PDF of NCERT Solutions for Class 9 Maths chapter 13 Exercise 13.5 “Surface Areas and Volumes”

All Questions of Chapter 13 Exercise 13.5

Once you complete the chapter 13 then you can revise Ex. 13.5 by solving following questions

Q1. Amatch box measures $4 \mathrm{~cm} \times 2.5 \mathrm{~cm} \times 1.5 \mathrm{~cm}$. What will be the volume of a packet containing 12 such boxes?

Q2. A cuboidal water tank is $6 \mathrm{~m}$ long, $5 \mathrm{~m}$ wide and $4.5 \mathrm{~m}$ deep. How many litres of water can it hold? $\quad\left(1 \mathrm{~m}^{3}=1000 \ell\right.$ )

Q3. A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic meters of a liquid?

Q4. Find the cost of digging a cuboidal pit $8 \mathrm{~m}$ long, $6 \mathrm{~m}$ broad and $3 \mathrm{~m}$ deep at the rate of Rs. 30 per $\mathrm{m}^{3}$.

Q5. The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively $2.5 \mathrm{~m}$ and $10 \mathrm{~m}$.

Q6. A village, having a population of 4000 , requires 150 litres of water per head per day. It has a tank measuring $20 \mathrm{~m} \times 15 \mathrm{~m} \times 6 \mathrm{~m}$. For how many days will the water of this tank last?

Q7. A godown measures $40 \mathrm{~m} \times 25 \mathrm{~m} \times 10 \mathrm{~m}$. Find the maximum number of wooden crates each measuring $1.5 \mathrm{~m} \times 1.25 \mathrm{~m} \times 0.5 \mathrm{~m}$ that can be stored in the godown.

Q8. A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

Q9. A river $3 \mathrm{~m}$ deep and $40 \mathrm{~m}$ wide is flowing at the rate of $2 \mathrm{~km}$ per hour. How much water will fall into the sea in a minute?

If you have any Confusion related to NCERT Solutions for Class 9 Maths chapter 13 Exercise 13.5 then feel free to ask in the comments section down below.

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