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  • 24-07-2020
  • Mathematics
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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?

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Stephen46
Stephen46 Stephen46
  • 07-08-2020

Answer:

The volume of figure B is 1008π in³

Step-by-step explanation:

The ratio of figure A to B is 4:1

That's

[tex] \frac{4}{1} [/tex]

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

[tex] \frac{4}{1} = \frac{4032\pi}{B} [/tex]

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

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