Geometry

Volume of a Cylinder

Formula

V = π × r² × h

What is Volume of a Cylinder?

The volume of a cylinder is the area of its circular base multiplied by its height. Think of it as stacking circles on top of each other.

Variables

V
V — Volume
r
r — Radius of the base
h
h — Height of the cylinder
π
π — Pi (approximately 3.14159)

Worked Examples

Example 1

Find the volume of a cylinder with radius 4 cm and height 10 cm.

Solution:

V = π × 4² × 10 = π × 16 × 10 ≈ 502.65 cm³

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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