Show that the surface area of a sphere is the same as that of the lateral surface of a right circular cylinder that just encloses the sphere.

Explanation

Diameter of sphere = Diameter of cylinder

So, Radius of sphere = Radius of cylinder

Height of cylinder = Diameter of sphere

`therefore` Surface area of sphere = `4pir^2`

Curved Surface area of cylinder = `2pirh` = `2pir2r`

Surface area of sphere = C.S.A of cylinder .