Question

A cylindrical container with height 12 cm and volume 550 cm³. Calculate 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=12\\ V=550 \end{cases}\implies 550=\pi r^2(12)\implies \cfrac{550}{12\pi }=r^2 \\\\\\ \cfrac{275}{6\pi }=r^2\implies \sqrt{\cfrac{275}{6\pi }}=r\implies 3.82\approx r`