Pre-Algebra Math Help Please?

Question

A baseball is stored in a cube. The radius of the baseball is 1.5 inches. How much space is NOT taken up by the baseball in the container?

Answer 1

Given : The radius of the baseball ( r ) = 1.5 inches.

Space, that is not taken up by the baseball in the container = Volume of the cube - Volume of the baseball.

Volume of the cube .

Where,  is a diameter and also a side of the cube.

.

Substitute the value in .

.

Volume of the baseball .

Substitute the values of in .

.

Substitute the values and in .

.

Therefore, space is not taken by the baseball in the container.