The surface area of a cylinder is the sum of the lateral area and the area of both ends (or lids).
The surface area can be calculated with the formula:
[tex]SA=2\pi r^2+2\pi rh[/tex]
Where r is the radius and h is the height.
The cylinder drawn in the figure has r=3 mi and h=5 mi.
Applying the formula:
[tex]\begin{gathered} SA=2\cdot3.14\cdot3^2+2\cdot3.14\cdot3\cdot5 \\ SA=150.72mi^2 \end{gathered}[/tex]
The surface area of the figure is 150.72 square mi
