**Surface Area of Cylinder**

The three-dimensional solid shape with two parallel circular bases and a curved surface is known as a cylinder. The sum of the two circular bases of the cylinder and its curved surface area is known as the surface area of a cylinder.

**About the Topic**

The area occupied by the circular base of the cylinder and the curved surface of the cylinder is computed using the formula for the surface area of the cylinder. a cylinder has two kinds of surface areas

- Total Surface Area (TSA) and
- Curved or lateral Surface Area (CSA)

**Curved Surface Area of the Cylinder (CSA) **

The curved surface area of a cylinder refers to the area of the curved surfaces of the cylinder.

The formula of the curved surface area of a cylinder is 2πrh.

Where,

r stands for the radius of a cylinder

h stands for the height of a cylinder

π = 22/7 or 3.14

**Total Surface the Area of the Cylinder (TSA):**

The sum of the two circular bases of the cylinder and its curved surface area is known as the surface area of the cylinder.

The formula of the total surface area of a cylinder is

2πr² + 2πrh OR 2πr(r +h)

Where,

r stands for the radius of a cylinder

h stands for the height of a cylinder

π = 22/7 or 3.14

**Solved Examples**

**Compute the Total surface area (TSA) of a cylinder, if its radius is 7 cm and height is 9 cm.**

Solution: Given,

Radius(r) = 7 cm

Height(h) = 9 cm

The Total surface area of the cylinder

=> 2πr(r + h)

=> 2×3.14×7(7+9)

=> 2×3.14×7×16

=> 703.4 cm²

**If the radius of a cylindrical water bottle is 6 cm and the height is 12cm. Find the Curved surface area of the cylindrical water bottle.**

Solution: Given,

Radius(r) = 6 cm

Height(h) =12 cm

The curved surface area of the cylinder

=> 2πrh

=> 2×3.14×6×12

=> 452.16cm²