The radius of sphere = r The radius of the base of right circular cylinder = R Height of right circular cylinder = h r = R = h (Given) ⇒ Surface area of sphere = 4 × π×r2=4πr2 ⇒ Curved surface area of cylinder = 2 × π × R × h = 2 × π × r × r = 2πr2 ⇒ The surface area of the sphere : Curved surface area of cylinder = 4πr2:2πr2 ⇒ The surface area of the sphere : Curved surface area of cylinder = 2 : 1 ∴ The ratio of the surface area of sphere and curved surface area of the cylinder is 2 : 1.