Question

question 10 of 10
find the volume of the cone shown below.

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 of the cone.

Step2: Identify values of $r$ and $h$

From the figure, the radius $r = 7$ and the height $h=24$.

Step3: Substitute values into formula

$V=\frac{1}{3}\pi\times7^{2}\times24$.
First, calculate $7^{2}=49$. Then, $\frac{1}{3}\times49\times24=\frac{49\times24}{3}=49\times8 = 392$. So, $V = 392\pi$.

Answer:

A. $392\pi$ units$^{3}$