Question

A soccer ball is inflated so that it’s diameter is 12 inches.about how much air does it hold?

Answer 1

About
`905in^(3) of air`

Explanation:

This problem bothers on the mensuration of solid shapes. a sphere

yes an inflate ball takes the shape of a sphere.

Given data

Volume v = ?

Diameter d=
`12 in`

Radius r =
`(diameter)/(2) = (12)/(2) = 6in`

The expression for the volume of a sphere is

`volume= (4)/(3)\pi r^(3) \\volume= (4)/(3) *3.142*6^(3) \\volume= (12.57)/(3) *216\\volume= (2715.12)/(3)\\ volume = 905.04 in^(3)`

Approximately the ball hold about
`905in^(3) of air`