Question

Question 3 of 5

A basketball has a radius of 4.5 inches. If the
ball is filled with 350 cubic inches of air, how
much more air is needed to fill it completely?
Round to the nearest whole number.

Answer 1

32 cubic inches of air are needed to fill it completely.

Explanation:

A basketball has the format of a sphere.

The volume of a sphere with radius r is given by the following equation:

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

In this question:

Radius of 4.5 inches. So the volume, in cubic inches, is:

`V = (4\pi*(4.5)^(3))/(3) = 382`

The volume of the ball is 382 cubic inches.

350 cubic inches have already been filled.

So 382-350 = 32 cubic inches of air are needed to fill it completely.