what is the volume of this sphere?
round your answer to the nearest hundredth.
cubic yards

Question

Accepted Answer

# Explanation:
## Step1: Find the radius
The diameter $d = 23.6$ yd. The radius $r=\frac{d}{2}$, so $r=\frac{23.6}{2}=11.8$ yd.
## Step2: Use the volume formula for a sphere
The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 11.8$ into the formula:
$$
\begin{align*}
V&=\frac{4}{3}\times\pi\times(11.8)^{3}\
&=\frac{4}{3}\times\pi\times1643.032\
&=\frac{6572.128}{3}\times\pi\
&\approx\frac{6572.128}{3}\times3.14159\
\end{align*}
$$
$$
\begin{align*}
V&\approx2190.709\times3.14159\
&\approx6882.13
\end{align*}
$$

# Answer:
$6882.13$

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QUESTION IMAGE

Question

Explanation:

Step1: Find the radius

Step2: Use the volume formula for a sphere

Answer: