[tex]\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad V=27\pi \implies 27\pi =\pi r^2 h\implies \boxed{\cfrac{27}{h}=r^2}\\\\
-------------------------------\\\\
\textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}
\\\\\\
V=\cfrac{4\pi \boxed{r^2}r}{3}\implies V=\cfrac{4\pi \left( \frac{27}{h} \right)r}{3}\implies V=\cfrac{\frac{108\pi r}{h}}{3}
\\\\\\
V=\cfrac{108\pi r}{h}\cdot \cfrac{1}{3}\implies \boxed{V=\cfrac{36\pi r}{h}}[/tex]
