What is the Sphere Calculator?
The sphere calculator finds the volume and surface area of a sphere from its radius, useful for balls, tanks and planets.
How to use the Sphere tool
- Enter Radius.
- The result updates instantly as you type, or press Calculate.
- Use Try an example to see how it works, and Reset to start again.
Formula
Volume = 4/3 × π × r³. Surface area = 4 × π × r².
Worked example
With radius 3, the volume comes to 113.0973. Surface area: 113.0973; Diameter: 6.
Frequently asked questions
How do I find the radius from the volume?
Rearrange: r = ∛(3V ÷ 4π).
Do the units matter?
Volume is in cubic units and surface area in square units of whatever length unit you enter.
Sphere volume and surface area
Volume = 4/3 π r³, surface area = 4 π r².
| Radius | Diameter | Surface area | Volume |
|---|---|---|---|
| 1 | 2 | 12.57 | 4.19 |
| 2 | 4 | 50.27 | 33.51 |
| 3 | 6 | 113.1 | 113.1 |
| 4 | 8 | 201.06 | 268.08 |
| 5 | 10 | 314.16 | 523.6 |
| 6 | 12 | 452.39 | 904.78 |
| 7 | 14 | 615.75 | 1,436.76 |
| 8 | 16 | 804.25 | 2,144.66 |
| 10 | 20 | 1,256.64 | 4,188.79 |
| 12 | 24 | 1,809.56 | 7,238.23 |
| 15 | 30 | 2,827.43 | 14,137.17 |
| 20 | 40 | 5,026.55 | 33,510.32 |
FAQ
How do I find sphere volume from diameter? Divide the diameter by 2 to get r, then use 4/3 π r³.
What is the volume of a sphere with radius 5? 523.6 cubic units.
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Checked by Calcovate · Formula tested against worked examples · Updated 7 Nov 2026 · How we check our calculators.