This question was previously asked in

REET 2012 Level - 2 (Maths & Science) (Hindi/English/Sanskrit) Official Paper

Option 2 : 2πr (r + h), πr^{2}h

The cylinder is a three-dimensional shape having a circular base. The cylinder has congruent bases in a pair of parallel planes.

**The surface area** of the cylinder is the sum of the areas of two congruent circles and area of the curved surface.** The volume of a cylinder** is the measure of the amount of space that a cylinder contributes. The volume of a cylinder is the product of the area of the base and the height.

**r**= radius of the base of the cylinder.

**h**= height of the cylinder

**The Total Surface Area of a Cylinder** = Area of curved surface + Area of top and base circles of cylinder

∴ 2πrh + 2πr^{2}

⇒ 2πr (h + r)

**The Volume of a Cylinder** = Area of the base × hight

∴ πr2 × h

⇒ πr2h

**Hence, from the above-mentioned points, it becomes clear that the surface area and volume of a cylinder of radius r and height h are given by respectively 2πr (r + h), πr2h.**