Monica has a piece of Canvas whose area is $551 \mathrm{~m}^{2}$. She uses it to have a conical tent made, with a base radius of $7 \mathrm{~m}$. Assuming that all the stitching margins and wastage incurred while cutting amounts to approximately $1 \mathrm{~m}^{2}$. Find the volume of the tent that can be made with it.
It is given that:
Area of the canvas $=551 \mathrm{~m}^{2}$
Area that is wasted $=1 \mathrm{~m}^{2}$
Radius of tent = 7m, Volume of tent (v) = ?
Therefore the Area of available for making the tent $=(551-1)=550 \mathrm{~m}^{2}$
Surface area of tent $=550 \mathrm{~m}^{2}$
$\Rightarrow \pi r l=550$
⟹ l = 550/22 = 25 m
Slant height (l) = 25 m
We know that,
$1^{2}=r^{2}+h^{2}$
$25^{2}=7^{2}+h^{2}$
$\Rightarrow 625-49=h^{2}$
$\Rightarrow 576=h^{2}$
h = 24 m
Height of the tent is 24 m.
Now, volume of cone $=1 / 3 \pi r^{2} h$
$=1 / 3 * 3.14 * 7^{2} * 24=1232 \mathrm{~m}^{3}$
Therefore the volume of the conical tent is $1232 \mathrm{~m}^{3}$.
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,