what is the volume of this sphere? round your answer to the nearest hundredth. 34.6 yd cubic yards submit

Question

Accepted Answer

# Explanation:
## Step1: Find the radius
The diameter $d = 34.6$ yd. The radius $r=\frac{d}{2}=\frac{34.6}{2}=17.3$ yd.
## Step2: Use the volume formula for a sphere
The volume formula of a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 17.3$ into the formula:
$$
\begin{align*}
V&=\frac{4}{3}\times\pi\times(17.3)^{3}\
&=\frac{4}{3}\times\pi\times5177.717\
&=\frac{20710.868\pi}{3}\
\end{align*}
$$
Take $\pi\approx3.14159$
$$
\begin{align*}
V&=\frac{20710.868\times3.14159}{3}\
&=\frac{65069.977}{3}\
&\approx21689.99
\end{align*}
$$

# Answer:
$21689.99$

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QUESTION IMAGE

Question

Explanation:

Step1: Find the radius

Step2: Use the volume formula for a sphere

Answer: