Question

find the volume of a cone with a base radius of 3 ft and a height of 7 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: Recall the formula for the volume of a cone

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

Step2: Substitute the given values into the formula

Given \( r = 3\) ft and \( h=7\) ft, and using \( \pi = 3.14\).

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Step3: Simplify the expression

First, \( \frac{1}{3}\times9 = 3\). Then \( V=3\times3.14\times7\).

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Answer:

\(65.94\mathrm{ft}^{3}\)