Question

A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the nearest cubic inch?

Answer 1

0.52 cubic inches

Explanation:

Given: circumference of a basketball is 31.4 inches.

`\pi =3.14`

To find: basketball's volume to the nearest cubic inches

Solution:

circumference of a basketball (sphere) = 6.28(radius)

Also, circumference of a basketball = 31.4 inches.

So, 6.28(radius) = 3.14

radius =
`(3.14)/(6.28)=(1)/(2)` inch

Volume of the basketball (sphere) =
`(4)/(3)(\pi )(radius)^3=(4)/(3)(3.14)((1)/(2))^3=0.52\,\,cubic\,\,inches`