Geometry

Volume of a Sphere

Formula

V = (4/3) × π × r³

What is Volume of a Sphere?

The volume of a sphere is four-thirds times pi times the cube of the radius. This gives the total three-dimensional space enclosed by the sphere.

Variables

V
V — Volume
r
r — Radius of the sphere
π
π — Pi (approximately 3.14159)

Worked Examples

Example 1

Find the volume of a sphere with radius 3 cm.

Solution:

V = (4/3) × π × 3³ = (4/3) × π × 27 ≈ 113.1 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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