find the volume of a right circular cone that has a height of 15.8 in and a base with a diameter of 12.7 in. round your answer to the nearest tenth of a cubic inch. answer attempt 1 out of 3 in³ submit answer

Question

Accepted Answer

# Explanation:
## Step1: Find the radius
The diameter $d = 12.7$ in. The radius $r=\frac{d}{2}=\frac{12.7}{2}=6.35$ in.
## Step2: Use the volume formula for a cone
The volume formula for a cone is $V=\frac{1}{3}\pi r^{2}h$. Substitute $r = 6.35$ in and $h=15.8$ in.
$$
\begin{align*}
V&=\frac{1}{3}\times\pi\times(6.35)^{2}\times15.8\
&=\frac{1}{3}\times\pi\times40.3225\times15.8\
&=\frac{1}{3}\times\pi\times637.0955\
&\approx\frac{1}{3}\times3.14\times637.0955\
&=\frac{1990.47087}{3}\
&\approx663.5
\end{align*}
$$

# Answer:
$663.5$

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Question

Explanation:

Step1: Find the radius

Step2: Use the volume formula for a cone

Answer: