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find the volume of a cone with a height of 11 yd and a base diamet use …

Question

find the volume of a cone with a height of 11 yd and a base diamet
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 \(d = 6\) yd. The radius \(r=\frac{d}{2}\).
\(r=\frac{6}{2}=3\) yd.

Step2: Use the cone - volume formula

The volume formula of a cone is \(V=\frac{1}{3}\pi r^{2}h\). Given \(\pi = 3.14\), \(r = 3\) yd, and \(h=11\) yd.
Substitute the values into the formula:

$$ LATEXBLOCK0 $$

\(V = 103.62\)

Answer:

\(103.62\) cubic yards