Volume of Hemisphere Calculator
Exactly Half a Sphere
Slice a sphere through its center and one half is a hemisphere — the dome shape behind everything from planetariums to mixing bowls. Its volume is, unsurprisingly, exactly half the full sphere formula.
The Formula
Volume = (2/3)πr³
Volume by Radius
| Radius | Volume |
|---|---|
| 1 | 2.0944 |
| 2 | 16.7552 |
| 3 | 56.5487 |
| 5 | 261.7994 |
| 10 | 2094.3951 |
Each value here is exactly half of the corresponding full-sphere volume — for example, 2.0944 × 2 = 4.1888, the sphere volume at radius 1.
Where This Matters
- Dome architecture — estimating the enclosed volume of a domed roof or planetarium structure.
- Bowls and vessels — capacity of hemisphere-shaped mixing bowls, basins, or reactor vessel heads.
- Geodesy — approximating the volume of a hemispherical excavation or mound.
How to Use This Calculator
- Enter the hemisphere's Radius.
- Select Calculate to get the volume.
Related Calculations
For the full sphere, see the Sphere Volume Calculator, or compare against a cylinder with the Cylinder Volume Calculator.