Question

Use the formula to find the surface area of the figure. Show your work.

Answer 1

so we know the diameter is 11.4, that means its radius is half that, or 5.7.

`\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=14.2 \end{cases}\implies SA=2\pi (5.7)(14.2+5.7) \\\\\\ SA=11.4\pi (19.9)\implies SA=226.86\pi \implies SA\approx 712.70~in^2`