Question

Question attached! Please help!

Answer 1

`\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( (27)/(h) \right)r}{3}\implies V=\cfrac{(108\pi r)/(h)}{3} \\\\\\ V=\cfrac{108\pi r}{h}\cdot \cfrac{1}{3}\implies \boxed{V=\cfrac{36\pi r}{h}}`