RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 21. Surface Area and Volume of a Sphere

Subject: Mathematics - Class 9th

Q. No. 13 of CCE - Formative Assessment

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13

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is

Volume of a sphere = (4/3)πr3


Volume of a cylinder = πr2h


Given, sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder and the radius of the sphere is r


Thus, height of the cylinder = diameter = 2r and base radius = r


Volume of the cylinder = π × r2 × 2r = 2πr3

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