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Calculators / Math / Sphere volume and surface area
Sphere volume and surface area calculator
Find the surface area and volume of a sphere.
On this page
Volume113.1cubic units
Surface area113.1square units
Calculator controls
How to calculate
Find the surface area and volume of a sphere.
Volume = 4*pi*r^3/3; Surface area = 4*pi*r^2
Worked example
Radius: 3.
Volume: 113.1 cubic units; Surface area: 113.1 square units.
Assumptions and limits
Halve the volume. Half the sphere area gives the curved area; add pi times radius squared if the flat circular face is included.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
A sphere has a constant radius in every direction. Its surface area and volume describe different quantities even when their numerical values happen to match.
When this tool is useful
Find the surface area and volume of a sphere.
Understanding your inputs
| Input | What to enter |
|---|---|
| Radius | Enter a number of at least 0 and no more than 1000000000. |
Frequently asked questions
How do I calculate a hemisphere?
Halve the volume. Half the sphere area gives the curved area; add pi times radius squared if the flat circular face is included.