Question

find the volume of a cone with a base radius of 5 cm and a height of 9 cm. 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 values

Given $r = 5$ cm and $h=9$ cm, and $\pi = 3.14$. Substitute into the formula: $V=\frac{1}{3}\times3.14\times5^{2}\times9$.

Step3: Calculate

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

Answer:

$235.5$ cm$^{3}$