Numbers, Units & Calculators
Sphere Volume Calculator
Calculate the space inside a sphere from its radius. Enter the required values, adjust the options, and review the calculated result.
This tool runs open-source code from OmniTools (MIT License). See open-source credits.
Sphere Volume Calculator solves sphere volume or radius with 4/3 × π × radius³.
The result is volume in mm³ or radius in mm, according to the selected unknown. Volume equals 4/3 × π × radius³. Processing runs in the browser.
- Check a geometry calculation for a sphere.
- Recover a sphere's radius from its known volume.
- Compare how doubling the radius increases the volume eightfold.
Instructions
- Choose the unknown value, then enter the known radius or volume.
- Choose volume or radius as the unknown.
- Enter radius in mm when solving volume. Enter volume in mm³ when solving radius.
- For radius 3 mm, check that the volume is approximately 113.097 mm³.
Example
Input: radius = 3 mm
Settings: Sphere Volume Calculator: Unknown: volume; length unit: millimetres.
Result: 113.09733552923255 mm³, approximately 113.097 mm³.
Sphere Volume Calculator: The exact expression is 36π mm³. The decimal display uses floating-point arithmetic.
Limits
- Sphere Volume Calculator: The displayed volume unit is mm³.
- Sphere Volume Calculator: Doubling radius increases volume eightfold.
- Sphere Volume Calculator: It assumes a perfect sphere.