Question

find the volume of the right cone below. round your answer to the nearest tenth of an inch. volume= cubic units

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. From the figure, $r = 3$ and $h=4$.

Step2: Substitute values into formula

Substitute $r = 3$ and $h = 4$ into the formula: $V=\frac{1}{3}\pi\times3^{2}\times4$.
First, calculate $3^{2}=9$. Then the expression becomes $V=\frac{1}{3}\pi\times9\times4$.
$\frac{1}{3}\times9 = 3$, so $V = 3\pi\times4=12\pi$.

Step3: Approximate the value

Using $\pi\approx3.14$, we have $V\approx12\times3.14 = 37.68$.
Rounding to the nearest tenth, we get $V\approx37.7$.

Answer:

$37.7$