Question

Tennis ball with a diameter of 2.5 inches are sold in cans of three the can is a cylinder what is the volume of the space not occupied by the tennis balls ? Assume the tennis balls touch the can on the sides top and bottom round to the nearest tenth

Answer 1

First we need to find the volume of the three tennis balls:
V = 4/3 x Pi x r^3
V = 4/3 x Pi x 1.25^3
V = 8.18

Since there are three tennis balls:

8.18 x 3 = 24.54

Then we need to solve for the cylinder:

V = Pi x r^2 x h
V = Pi x 1.25^2 x (2.5 x 3)
V = 36.81

Then we need to find the total amount of space between the tennis balls and the cylinder

38.81 - 24.54 = 12.27 inches

12.27 inches to the nearest tenth is 12.30 inches