Question

find the volume of a right circular cone that has a height of 3.9 ft and a base with a radius of 14.7 ft. round your answer to the nearest tenth of a cubic foot.

Explanation:

Step1: Recall the volume formula for a cone

The volume formula for a right - circular cone is \(V=\frac{1}{3}\pi r^{2}h\), where \(r\) is the radius of the base and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 14.7\) ft and \(h=3.9\) ft. Substitute these values into the formula:

$$
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$$

Step3: Calculate the value

Using \(\pi\approx3.14\), we have \(V\approx3.14\times280.917 = 882.07938\)

Answer:

\(882.1\) cubic feet