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.

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

4599^3 (choice b) is correct