Problem

Find the volume of a right circular cone that has a height of 16 in and a base with a circumference of 4.5 in. Round your answer to the nearest tenth of a cubic inch.

Answer

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Answer

Simplify and round the volume to the nearest tenth: \(\boxed{8.6}\)

Steps

Step 1 :Find the radius using the circumference formula: C = 2 * pi * r. Given C = 4.5, we have r = \(\frac{4.5}{2 \pi}\)

Step 2 :Calculate the volume of the cone using the formula V = (1/3) * pi * r^2 * h. Given h = 16, we have V = \(\frac{1}{3} \pi \left(\frac{4.5}{2 \pi}\right)^2 (16)\)

Step 3 :Simplify and round the volume to the nearest tenth: \(\boxed{8.6}\)

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