Question

What is the surface area of the cylinder with height 2 mi and radius 4 mi? Round your answer to the nearest thousandth.

Answer 1

`\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=2\\ r=4 \end{cases}\qquad \begin{array}{llll} SA=2\pi (4)(2+4) \\\\\\ SA=8\pi (6)\implies SA=48\pi \\\\\\ SA\approx 150.796 \end{array}`