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.

Prove that the surface area of the sphere is assume as that of the lateral surface of a right circular cylinder, which just encloses the sphere.

Total Surface area of Right Circular Cylinder

Area of the lateral surface of the cylinder.

Curved (Lateral) Surface area of Right Circular Cylinder

Prove that the surface area of a sphere is equal to the curved surface area of the circumscribed cylinder.

Prove that the surface area of a sphere is equal to the curved surface area of the circumscribed cylinder.

The lateral surface area of a cylinder is

Curved (Lateral) Surface area of Right Circular cone

The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 6 cm each. What is the radius (in cm) of the sphere?