The surface area of a right cylinder is the sum of the areas of the lateral face and the circular bases. The lateral face is really just a rectangle with the same height as the cylinder and a length equal to the circumference of the circular base.
If the radius of the base is
and the height is 
, then the surface area of the cylinder is
You're given that the area is
and the radius is 
, so you have
If the radius of the base is
You're given that the area is