Question

find the volume of a cone with a height of 10 m and a base radius of 3 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: Recall volume formula

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

Step2: Substitute given values

Substitute $r = 3$, $h = 10$ and $\pi=3.14$ into the formula: $V=\frac{1}{3}\times3.14\times3^{2}\times10$.
First, calculate $3^{2}=9$. Then the expression becomes $V=\frac{1}{3}\times3.14\times9\times10$.
$\frac{1}{3}\times9 = 3$, so $V=3.14\times3\times10$.
$3.14\times3 = 9.42$, and $9.42\times10=94.2$.

Answer:

$94.2\ m^{3}$