Problem

Find the volume of a right circular cone that has a height of 6.7 in and a base with a diameter of $8.8 \mathrm{in}$. Round your answer to the nearest tenth of a cubic inch.

Answer

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Answer

Round the volume to the nearest tenth: \(\boxed{135.8}\) cubic inches

Steps

Step 1 ：Given diameter = 8.8 in, height = 6.7 in

Step 2 ：Calculate the radius: \(r = \frac{diameter}{2} = \frac{8.8}{2} = 4.4\) in

Step 3 ：Use the formula for the volume of a cone: \(V = \frac{1}{3} \pi r^2 h\)

Step 4 ：Plug in the values: \(V = \frac{1}{3} \pi (4.4)^2 (6.7)\)

Step 5 ：Calculate the volume: \(V \approx 135.83408876081307\) cubic inches

Step 6 ：Round the volume to the nearest tenth: \(\boxed{135.8}\) cubic inches

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