[tex]\bf \textit{volume of a cylinder}=v=\pi r^2h\\\\
\begin{cases}
r=radius\\
h=height
\end{cases}\\\\
-----------------------------\\\\
[/tex]
[tex]\bf \begin{array}{llll}
v=\pi r^2h&v=\pi r^2h\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
\begin{cases}
r=5\\
v=471
\end{cases}\qquad \qquad &\begin{cases}
r=5\\
v=314
\end{cases}\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
471=\pi \cdot 5^2\cdot h&314=\pi \cdot 5^2\cdot h
\end{array}[/tex]
solve each one for "h", see how much "h" is when the volume is 471, a full cylinder, and when is 314 full only,
get their difference
