How to use the Sphere Volume Calculator
Enter the radius of the sphere. If you measured the diameter, halve it first.
The sphere volume formula
Volume equals four-thirds times pi times the radius cubed. For a radius of 5, V = 4/3 × π × 125 ≈ 523.6. Because the radius is cubed, doubling it makes the volume eight times larger.
Turning volume into capacity
If the radius is in centimetres, the volume is in cubic centimetres, and 1,000 cm³ is 1 litre. A ball with a 10 cm radius holds about 4,189 cm³, or roughly 4.2 litres.
The formula
V = 4/3 × π × r³
Examples
- Radius 5
Volume: 523.5987756
- Radius 11 (a ball in cm)
Volume: 5,575.27976257
- Radius 0.5
Volume: 0.52359878
Sphere volume by radius
| Radius | Volume |
|---|---|
| 1 | 4.1888 |
| 2 | 33.5103 |
| 3 | 113.0973 |
| 4 | 268.0826 |
| 5 | 523.5988 |
| 6 | 904.7787 |
| 7 | 1,436.755 |
| 8 | 2,144.6606 |
| 9 | 3,053.6281 |
| 10 | 4,188.7902 |
| 12 | 7,238.2295 |
| 15 | 14,137.1669 |
| 20 | 33,510.3216 |
| 25 | 65,449.8469 |
| 50 | 523,598.7756 |
Limitations and assumptions
The volume comes back in the cube of the unit you entered. 1,000 cm³ is 1 litre.
Frequently asked questions
What is the volume of a sphere with radius 3?
About 113.1 cubic units, since 4/3 × π × 27 = 36π.
How do I use the diameter instead?
Halve it to get the radius first, or use V = πd³ ÷ 6.
What about a hemisphere?
A hemisphere is half a sphere, so divide the result by 2.