Question

find the volume of a cone with a height of 6 cm and a base diameter of 6 cm. 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 \(d = 6\) cm. The radius \(r=\frac{d}{2}\), so \(r=\frac{6}{2}=3\) cm.

Step2: Use the volume formula for a cone

The volume formula of a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 3\) cm, \(h=6\) cm, and \(\pi = 3.14\) into the formula.

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Answer:

\(56.52\space cm^{3}\)