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The height of a cone is 9 feet. The circumference of the base of the cone is 8pi feet.

Which measurement is closest to the volume of the cone in terms of pi?

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1 Answer

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Answer: First, we need to find the radius of the base of the cone using the circumference formula:

Circumference = 2πr

8π = 2πr

r = 4

Now, we can use the formula for the volume of a cone:

Volume = (1/3)πr^2h

Substituting the values we have:

Volume = (1/3)π(4^2)(9)

Volume = (1/3)π(16)(9)

Volume ≈ 150.8 cubic feet

Therefore, the measurement closest to the volume of the cone in terms of pi is 150.8π cubic feet.

Explanation:

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