To locate the surface tarea of a cylinder include the surface area of every end in addition to the surface area of the side. Every end is a circle so the surface area of every end is π * r2, where r is the radius of the end. There are two ends so their combinded surface area is 2 π * r2. The surface are 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 whole equation for the surface area of a cylinder is 2 π r2 + 2