## A cone with volume 5000 m³ is dilated by a scale factor of 15. What is the volume of the resulting cone? Enter your answer in the box.

Question

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## Answers ( No )

The answer is 40, I just took the test.

Answer:Step-by-step explanation:we know that

If two figures are similar then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z—–> scale factor

x—–> the volume of the dilated cone

y—–> the volume of the original cone

In this problem we have

substitute and solve for x