Solve the problem.

A rectangular sheet of perimeter $33$ cm and dimensions $cm$ by $ycm$ is to be rolled into a cylinder as shown in part $($a$)$ of the figure. What values of $x$ and $y$ give the largest volume?

$x=10cm$;$y=\frac{13}{2}cm$

$x=12cm$;$y=\frac{4}{2}cm$

$x=11cm$;$y=\frac{11}{2}cm$

$x=13cm$;$y=\frac{2}{2}cm$