[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=9\\ V=7234.56 \end{cases}\implies 7234.56=(3.14)r^2(9)\implies \cfrac{7234.56}{(3.14)(9)}=r^2 \\\\\\ \cfrac{7234.56}{28.26}=r^2\implies \implies 256=r^2\implies \sqrt{256}=r\implies \boxed{16=r}[/tex]
