Sphere Formulas
3D Solids
Sphere
- Volume
- V = (4 ⁄ 3) πr3
- Surface area
- SA = 4πr2
- r radius
Sphere formulas explained
A sphere is the set of all points in space at distance r from the centre — a perfectly round ball. Below are all the sphere formulas with what each letter means, a worked example and a free calculator.
- Volume:
V = (4 ⁄ 3) πr³ - Surface area:
SA = 4πr²
Sphere calculator
Live calculator
Sphere calculator
Worked example: volume of a sphere
Given Radius r = 3 cm, substitute the values into each sphere formula:
- V = (4 ⁄ 3) × π × 3³ = 113.1 cm³
- SA = 4 × π × 3² = 113.1 cm²
Sphere Formula SheetFormulas, variables, a worked example and practice questions with answers.Download PDFOpen
Sphere formulas FAQ
What is the formula for the volume of a sphere?
The volume of a sphere is V = (4 ⁄ 3) πr³, where r is the radius.
What is the formula for the surface area of a sphere?
The surface area of a sphere is SA = 4πr², where r is the radius.
Can I download the sphere formulas as a PDF?
Yes. Use the Download PDF button on this page for a free printable sphere formula sheet with a worked example and practice questions.