Geometry

Surface Area of a Cylinder

Formula

SA = 2πr² + 2πrh

What is Surface Area of a Cylinder?

The total surface area of a cylinder is the sum of the two circular bases (2πr²) and the curved lateral surface (2πrh).

Variables

S
SA — Total surface area
r
r — Radius of the base
h
h — Height
π
π — Pi (approximately 3.14159)

Worked Examples

Example 1

Find the surface area of a cylinder with radius 3 cm and height 8 cm.

Solution:

SA = 2π(9) + 2π(3)(8) = 18π + 48π = 66π ≈ 207.35 cm²

Frequently Asked Questions

Related Formulas

Area of a Circle

A = π × r²

Circumference of a Circle

C = 2 × π × r

Area of a Rectangle

A = l × w

Area of a Triangle

A = ½ × b × h

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