Question

Find the difference in the volume of air between a men's basketball with a diameter of 9.4 inches and women's basketball with a diameter of 9.07 inches. Round your answer to the nearest tenth of a cubic inch.

Answer 1

Given a sphere with diameter, d, the volume, V, of the spere is given by

`V=(\pi d^3)/(6)`

Take

`\pi\approx3.14`
`\begin{gathered} \text{therefore,} \\ V=(3.14d^3)/(6) \end{gathered}`

A basketball is a sphere.

For the men's basketball,

d = 9.4 and

`V=(3.14(9.4)^3)/(6)\approx434.7\text{inches}^3`

For women's basketball,

`V=(3.14(9.07)^3)/(6)\approx390.5inches^3`

Therefore,

the difference = 434.7 - 390.5 = 44.2 cubic inches