a cone has a height of 11 inches and a diameter of 16 inches. what is its volume? round your answer to the nearest hundredth. cubic inches submit

Question

Accepted Answer

# Explanation:
## Step1: Find the radius of the cone
The diameter is 16 inches, so the radius $ r=\frac{16}{2} = 8 $ inches.
## Step2: Recall the formula for the volume of a cone
The volume $ V $ of a cone is given by $ V=\frac{1}{3}\pi r^{2}h $, where $ r $ is the radius and $ h $ is the height.
## Step3: Substitute the values of $ r $ and $ h $ into the formula
We know $ r = 8 $ inches and $ h=11 $ inches. So,
$$
\begin{align*}
V&=\frac{1}{3}\times\pi\times(8)^{2}\times11\
&=\frac{1}{3}\times\pi\times64\times11\
&=\frac{704\pi}{3}\
&\approx\frac{704\times3.14159}{3}\
&\approx\frac{2210.58}{3}\
&\approx736.86
\end{align*}
$$

# Answer:
$ 736.86 $

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QUESTION IMAGE

Question

Explanation:

Step1: Find the radius of the cone

Step2: Recall the formula for the volume of a cone

Step3: Substitute the values of \( r \) and \( h \) into the formula

Answer: