Question

8. A basketball with a diameter of 9.5 inches

is packaged in a cubic box measuring
9.5 inches on each edge. Determine the
volume of the empty space in the box.

Answer 1

408.45 in^3.

Explanation:

Volume of the empty space = Volume of the box - volume of the basketball

= 9.5^3 - 4/3 π r^3.

The radius of the ball r = 1/2 * 9.5 = 4.75 inches.

So the answer is 9.5^3 - 4/3 π (4.75)^3

= 857.375 - 448.921

= 408.45 in^3.