find the volume of the right cone below. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Find the radius

The diameter is 6, so the radius $r=\frac{6}{2}=3$.

Step2: Recall the volume - formula for a cone

The volume formula of a cone is $V = \frac{1}{3}\pi r^{2}h$, where $r$ is the radius and $h$ is the height. Here, $r = 3$ and $h=11$.

Step3: Substitute values into the formula

$V=\frac{1}{3}\pi\times3^{2}\times11$. First, calculate $3^{2}=9$. Then, $\frac{1}{3}\times9 = 3$. So, $V = 3\times11\pi=33\pi$.

Step4: Calculate the numerical value

Using $\pi\approx3.14$, we have $V\approx33\times3.14 = 103.62$. Rounding to the nearest tenth, $V\approx103.6$.

Answer:

$103.6$