Question:
The curved surface area of a cylinder is $1320 \mathrm{~cm}^{2}$ and its base had diameter $21 \mathrm{~cm}$. Find the height and volume of the cylinder.
Solution:
Let, r be the radius of the cylinder
h be the height of the cylinder
⟹ 2r = 21cm
⟹ r = 21/2
= 10.5 cm
Given, Curved surface area (CSA) $=1320 \mathrm{~cm}^{2}$
⟹ 2πrh = 1320
⟹ 2 * 22/7 * 10.5 * h = 1320
⟹ h = 1320/66
⟹ h = 20 cm
Volume of cylinder $=\pi r^{2} * \mathrm{~h}$
= 22/7 * 10.5 * 10.5 * 20
= 22 * 1.5 * 10.5 * 20
$=6930 \mathrm{~cm}^{2}$
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- 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,
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