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The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?​

The height of a cone is two times its base diameter. What is the volume of the cone-example-1

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7 votes

Answer:

B

Explanation:

Formula for finding the volume of a cone:
V=\pi r^(2) (h)/(3)

From the question, we can tell that the height, h, is equal to 2d or 4r.

h = 4r.

Substitute h into the volume formula:


V=\pi r^(2) (4r)/(3)

Rearrange to get the final equation of:


V=(4)/(3) \pi r^(3)

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