find the total surface area, and round to the nearest whole number.

The surface area of a cylinder is calculated as follows:
[tex]A=2\cdot\pi\cdot r\cdot h+2\cdot\pi\cdot r^2[/tex]where h is the height and r is the radius of the cylinder.
Substituting with r = 12 and h = 20, we get:
[tex]\begin{gathered} A=2\cdot\pi\cdot12\cdot20+2\cdot\pi\cdot12^2 \\ A=480\pi+288\pi \\ A=768\pi\approx2413 \end{gathered}[/tex]