#### formula

Curved surface area of cylinder = Area of rectangle = length x breadth

= circumference of the base of the cylinder height of the cylinder

= 2πr x h = 2πrh

The upper and the lower surface of the closed cylinder is circular

∴ total surface area of closed cylinder = curved surface area + area of upper surface + area of lower surface

∴ total surface area = curved surface area + 2 x area of circular faces

= 2πrh + 2πr^{2} = 2πr(h + r)