[tex]\text{Surface Area of the Cylinder (A) = }2\pi r^2+2\pi rh\text{ = 2}\pi r(r+h)[/tex][tex]\begin{gathered} \text{radius (r) =}4mi \\ \text{height (h) =}10mi \\ Therefore,\text{ A = 2}\pi(4)^2\text{ + 2}\pi(4)(10)\text{ }\mleft\lbrace\pi=3.142\mright\rbrace \\ A=100.544+251.36=351.904mi^2 \end{gathered}[/tex]
The final answer is
[tex]351.9mi^2\text{ (to the nearest tenth)}[/tex]
