Question

The ratio of figure A to B is 4:1. The volume of figure A is 4,032π in3. What is the volume of figure B?

Answer 1

The volume of figure B is 1008π in³

Explanation:

The ratio of figure A to B is 4:1

That's

`(4)/(1)`

Volume of figure A is 4.023π in³

To find the volume of figure B we compare the volumes of the two figures to the ratio

That's

`(4)/(1) = (4032\pi)/(B)`

Cross multiply

That's

4B = 4032π

Divide both sides by 4

B = 1008π

The volume of figure B is 1008π in³

Hope this helps you