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nexus9112 [7]
3 years ago
7

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?

Mathematics
1 answer:
labwork [276]3 years ago
4 0

Answer:

<h3>The volume of figure B is 1008π in³</h3>

Step-by-step explanation:

The ratio of figure A to B is 4:1

That's

\frac{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

\frac{4}{1}  =  \frac{4032\pi}{B}

Cross multiply

That's

4B = 4032π

Divide both sides by 4

B = 1008π

<h3>The volume of figure B is 1008π in³</h3>

Hope this helps you

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nikklg [1K]

Step-by-step explanation:

<u>Step 1:  Solve using the first point</u>

<em>(2, 28)</em>

28 = a(2)^3 + b(2)^2 + c(2) + d

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<em>(4, 220)</em>

220 = a(4)^3 + b(4)^2 + c(4) + d

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<u>Step 4:  Solve using the fourth point</u>

<em>(-2, -20)</em>

-20 = a(-2)^3 + b(-2)^2 + c(-2) + d

-20 = -8a + 4b - 2c + d

<u>Step 5:  Combine the first and fourth equations</u>

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