Answer:
32 cubic inches of air are needed to fill it completely.
Step-by-step explanation:
A basketball has the format of a sphere.
The volume of a sphere with radius r is given by the following equation:
[tex]V = \frac{4\pi r^{3}}{3}[/tex]
In this question:
Radius of 4.5 inches. So the volume, in cubic inches, is:
[tex]V = \frac{4\pi*(4.5)^{3}}{3} = 382[/tex]
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.
