Question

find the volume of a cone with a base diameter of 12 m and a height of 6 m. 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 $d = 12$ m, and the radius $r=\frac{d}{2}=\frac{12}{2}=6$ m.

Step2: Use the volume formula for a cone

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$. Substitute $r = 6$ m, $h = 6$ m and $\pi=3.14$ into the formula.
$V=\frac{1}{3}\times3.14\times6^{2}\times6$.
First, calculate $6^{2}=36$. Then $V=\frac{1}{3}\times3.14\times36\times6$.
$\frac{1}{3}\times36 = 12$, so $V=3.14\times12\times6$.
$12\times6 = 72$, and $V=3.14\times72$.
$V = 226.08$ $m^{3}$.

Answer:

$226.08$ $m^{3}$