Sphere Volume Calculator
The Space Inside a Ball
A sphere packs more volume per unit of surface than any other shape — a property that shows up everywhere from bearing design to bubble physics. Its volume grows with the cube of the radius, so a modest increase in size translates into a much larger increase in the space enclosed.
The Formula
Volume = (4/3)πr³
Volume by Radius
| Radius | Volume |
|---|---|
| 1 | 4.1888 |
| 2 | 33.5103 |
| 3 | 113.0973 |
| 5 | 523.5988 |
| 10 | 4188.7902 |
Going from radius 5 to radius 10 doubles the radius but multiplies the volume by 8 — a direct consequence of the cube in the formula.
Where This Matters
- Storage tank sizing — spherical tanks are common for pressurized gas storage, where volume directly sets holding capacity.
- Ball bearings and manufacturing — volume determines material mass and cost for cast or forged spherical parts.
- Physics and chemistry — estimating volumes of droplets, bubbles, or roughly spherical particles.
How to Use This Calculator
- Enter the sphere's Radius.
- Select Calculate to get the volume.
Related Calculations
Need just half a sphere? Use the Hemisphere Volume Calculator, or compare against a cylinder with the Cylinder Volume Calculator.