[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3.5\\ h=14 \end{cases}\implies SA=2\pi (3.5)(14+3.5) \\\\\\ SA=7\pi (17.5)\implies SA=122.5\pi \implies SA\approx 384.845\implies \stackrel{\textit{rounded up}}{SA=384.85}[/tex]