How it works
The formula integrates circular cross-sections or derives from calculus; the calculator applies r³ then scales by 4π/3.
Formula
V = (4/3)πr³
How to use Volume of a Sphere Calculator
- Enter radius or diameter.
- Calculate volume in cubic units.
- Compare with cylinder volume for similar dimensions.
- Halve or scale results for hemispheres manually if needed.
Worked examples
Concrete numbers and cases you can check against the tool above.
Ball radius 3 cm
V ≈ (4/3)π×27 ≈ 113.1 cm³.
When to use Volume of a Sphere Calculator
Spherical tanks, balls, and bubbles use a non-intuitive cubic formula. Small radius errors cube into large volume mistakes.
Common use cases
- Capacity of a spherical storage tank.
- Estimate material in a ball bearing or marble.
- Physics problems on displaced volume.
Inputs and outputs
- Radius or diameter length units → cubic units
Privacy
This tool runs entirely in your browser. Your data never leaves your device — nothing is uploaded to our servers.
Frequently asked questions
- Sphere vs circle?
- Circle is 2D area πr²; sphere is 3D volume with an extra r and a 4/3 factor.
- Hemisphere volume?
- Use half the sphere volume for a solid hemisphere.
- Does wall thickness matter?
- Subtract inner sphere volume from outer for a hollow shell.