Question

find the volume of a cone with a height of 10 ft and a base radius of 3 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 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

Given $r = 3$ ft, $h=10$ ft and $\pi = 3.14$. Substitute into the formula: $V=\frac{1}{3}\times3.14\times3^{2}\times10$.

Step3: Calculate the result

First, calculate $3^{2}=9$. Then, $\frac{1}{3}\times3.14\times9\times10=( \frac{1}{3}\times9)\times3.14\times10 = 3\times3.14\times10=94.2$ cubic - feet.

Answer:

$94.2$ ft³