Question

A spherical ball with a volume of 4500π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is equal to the diameter of the ball. What is the volume of the box?

Answer 1

27,000

Explanation:

The volume of a ball is found using the formula V = 4/3πr³. Substitute V = 4500π and solve for r.

4500π = 4/3πr³

4500 = 4/3r³

3375 = r³

15 = r

This means the diameter of the ball is 30.

Since the box had the same side length as the diameter, this means the volume of the box is V = 30*30*30 = 27,000.