Geometry

Volume of a Cone

Formula

V = (1/3) × π × r² × h

What is Volume of a Cone?

The volume of a cone is one-third the volume of a cylinder with the same base and height. It is one-third times pi times the radius squared times the height.

Variables

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

Worked Examples

Example 1

Find the volume of a cone with radius 5 cm and height 12 cm.

Solution:

V = (1/3) × π × 5² × 12 = (1/3) × π × 25 × 12 ≈ 314.16 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

Ready to Become a Math Champion?

Download the app and compete with players worldwide. Track your progress, climb the leaderboard, and master mathematics.

Download for Android Play in Browser