Question

A tennis ball is in a cylindrical container. The ball has a radius of 5 inches and the cylinder has a height of 8 inches. How much wasted space (air) is there in the container? The tennis ball touched the sides, top, and bottom of the container.) Give your answer in terms of pi. *

Answer 1

104.7 in^3

Explanation:

Step one:

given data

The ball has a radius of 5 inches and

the cylinder has a height of 8 inches

Step two:

The volume of the cylinder

`v= \pi r^2 h`

substitute our data

`v= 3.142*5^2*8\\\\v=628.4in^3`

The volume of the ball

`v=4/3 \pi r^3`

substitute our data

`v= 4/3 *3.142*5^3\\\\v= 523.7 in^3`

The space will have a volume of

=628.4-523.7

=104.7 in^3