if the ellipse has a major axis of 12 inches, that means its major radius is half that, or 6, and if its minor axis is 7, then its minor radius is half that, 3.5.
[tex]\bf \textit{volume of an elliptical cylinder}\\\\
V=\pi ab h~~
\begin{cases}
a=\textit{major axis radius}\\
b=\textit{minor axis radius}\\
h=height\\[-0.5em]
\hrulefill\\
a=6\\
b=3.5\\
h=21
\end{cases}
\\\\\\
V=\pi (6)(3.5)(21)\implies V\approx 1385.44236023309881816203[/tex]
