Question

find the volume of a cone with a base radius of 3 in and a height of 9 in. use the value 3.14 for $pi$, and do not do any rounding. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall volume formula

The volume formula for a cone is $V=\frac{1}{3}\pi r^{2}h$.

Step2: Substitute values

Given $r = 3$ in, $h=9$ in and $\pi = 3.14$. Substitute into the formula: $V=\frac{1}{3}\times3.14\times3^{2}\times9$.

Step3: Calculate

First, $3^{2}=9$. Then $\frac{1}{3}\times3.14\times9\times9 = 3.14\times3\times9=84.78$.

Answer:

$84.78$ in³