Question

The cylinder has height of 19mm and a volume of 4100mm³ what is the radius? (give ans to 2 d.p.)

Answer 1

`\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=19\\ V=4100 \end{cases}\implies 4100=\pi r^2(19)\implies \cfrac{4100}{19\pi }=r^2 \\\\\\ \sqrt{\cfrac{4100}{19\pi }}=r\implies 8.29\approx r`