To find the surface area of a cylinder add the surface area of each end plus the
surface area of the side. Each end is a circle so the surface area of each end is
π * r^{2}, where r is the radius
of the end. There are two ends so their combinded surface area is 2
π * r^{2}. The surface area of the side is
the circumference times the height or 2 π * r * h,
where r is the radius and h is the height of the side.

The entire formula for the surface area of a cylinder is 2 π r^{2} + 2 π r h