Question

Find the surface area of a cylinder that has a raius of 13.5 cm., and a height of 90 cm. Show all work without using a calculator.

Answer 1

$\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=13.5\\ h=90 \end{cases}\implies SA=2\pi (13.5)(90+13.5) \\\\\\ SA=27\pi (103.5)\implies SA=2794.5\pi \implies SA\approx 8779.18$

well, the last part will be with a calculator, but you can simply use the area in π terms.