Question

find the volume of a cone with a height of 6 ft and a base diameter of 8 ft.
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 \(d = 8\) ft. The radius \(r=\frac{d}{2}\), so \(r=\frac{8}{2}=4\) ft.

Step2: Use the volume formula for a cone

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(\pi = 3.14\), \(r = 4\) ft, and \(h=6\) ft into the formula.

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$$V = 100.48$$

Answer:

\(100.48\) \(ft^{3}\)