Answer
The volume of the sphere is $V\approx 21700\text{i}{{\text{n}}^{\text{3}}}$.
Work Step by Step
The volume of the sphere is $V=\frac{4}{3}\pi {{r}^{3}}$,
$\begin{align}
& V=\frac{4}{3}\pi {{r}^{3}} \\
& =\frac{4}{3}\left( \frac{22}{7} \right){{\left( 17.3 \right)}^{3}} \\
& =\frac{4}{3}\left( \frac{22}{7} \right)\left( 5177.71 \right) \\
& =21697.09 \\
& V\approx 21700\text{i}{{\text{n}}^{\text{3}}}
\end{align}$
