Question

find the volume of a cone with a base diameter of 6 in and a height of 10 in. use the value 3.14 for π, and do not do any rounding. be sure to include the correct unit in your answer.

Explanation:

Step1: Find the radius

The diameter \(d = 6\) in. The radius \(r=\frac{d}{2}\), so \(r=\frac{6}{2}=3\) in.

Step2: Use the cone - volume formula

The volume formula of a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 3\) in, \(h = 10\) in, and \(\pi=3.14\) into the formula.

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Answer:

\(94.2\ \text{in}^{3}\)