Question

A volleyball of radius 13 inches fits exactly in a cylinder with the same radius. inside the container there is empty space not taken up by the volleyball. what is the volume of that empty space? use 3.14 for ? and round the answer to the nearest cubic inch.

Answer 1

Volume of Sphere is V=(4/3)*PI*r^3

The radius of the volleyball is 13 inches

So V=(4/3) * 3.14 * 13^3 = 9198 cubic inches

Volume of a cylinder is V=pi * r^2 *h

Since they say the ball fits perfectly

The radius is 13 and the height is 26 ( the diameter of the ball)

So V=3.14 * 13^2 * 26 = 13,797 cubic inches

13797 – 9198 = 4,599 cubic inches of empty space