Question

A sphere is placed in a cylinder such that the sphere touches (is tangent to) the top, bottom, and sides of the cylinder. The volume of the sphere is 972π cubic units. Find the volume of the cylinder.

Answer 1

Volume of the cylinder = 729π

Explanation:

Volume of the sphere = 4/3πR^3 = 972π

The radius of the sphere is evaluated.

R = 9 unit

H = 9

Hence volume of the cylinder = πR^2H = π x 9 x 9 x 9 = 729π