Question

The volume of the cylinder is 225π and the height is 27cm what is the radius of the cylinder

Answer 1

`\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=27\\ V=225\pi \end{cases}\implies 225\pi =\pi r^2(27)\implies \cfrac{225\pi }{27\pi }=r^2 \\\\\\ \cfrac{25}{3}=r^2\implies \sqrt{\cfrac{25}{3}}=r\implies \cfrac{√(25)}{√(3)}=r\implies \cfrac{5}{√(3)}=r\implies 2.89\approx r`