Question

tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylender. what is the volume of the area not occupied by the tennis balls?

Answer 1

The volume of the area not occupied by the tennis balls is 12.28 cubic inches.

Explanation:

It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.

Radius of ball = Radius of can =
`(2.5)/(2)=1.25`

Height of can =
`2.5* 3=7.5`

The volume of sphere is

`V=(4)/(3)\pi r^3`

where, r is radius of sphere.

The volume of a tennis balls is

`V=(4)/(3)\pi (1.25)^3`

`V=8.18123`

`V\approx 8.18`

Volume of three tennis balls is

`V_1=3* 8.18=24.54`

The volume of cylinder is

`V=\pi r^2h`

The volume of can is

`V_2=\pi (1.25)^2(7.5)`

`V_2=36.81553`

`V_2\approx 36.82`

The volume of the area not occupied by the tennis balls is

Volume = Volume of cylinder - Volume of three tennis balls

= 36.82 - 24.54 = 12.28 inches

Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.