Question

question
find the volume of a right circular cone that has a height of 19.7 ft and a base with a diameter of 9 ft. round your answer to the nearest tenth of a cubic foot.
answer attempt 2 out of 2

Explanation:

Step1: Find the radius

The diameter \(d = 9\) ft. The radius \(r=\frac{d}{2}\), so \(r=\frac{9}{2}=4.5\) ft.

Step2: Use the volume formula for a cone

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 4.5\) ft and \(h=19.7\) ft into the formula:

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Step3: Calculate the value

\(V\approx3.14\times132.975 = 417.5415\)

Answer:

\(417.5\) cubic feet