Question

find the volume of a cone with a height of 9 ft and a base radius of 5 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 for cone

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

We are given $r = 5$ ft and $h=9$ ft, and $\pi = 3.14$. Substitute these values into the formula: $V=\frac{1}{3}\times3.14\times5^{2}\times9$.

Step3: Calculate the result

First, calculate $5^{2}=25$. Then, $\frac{1}{3}\times9 = 3$. So, $V=3.14\times25\times3$. Multiply $25\times3 = 75$, and then $3.14\times75=235.5$.

Answer:

$235.5$ ft$^{3}$