CALCULATOR
Radius of a Sphere Calculator
Find sphere radius from complete-sphere volume. Example: Volume: 12 m³ gives 1.42024808461 m. Complete sphere volume; positive real cube root. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.
Complete sphere volume; positive real cube root. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only. Derivation: Solve V=4πr³/3 for r.
Accepted inputs: Volume: 0.001 to 100,000,000 m³.
How the calculation works
radius = (3V/(4π))^(1/3)
Worked example
With volume 12 m³, sphere radius from complete-sphere volume is 1.420248085 m.
Assumptions and limits
Complete sphere volume; positive real cube root. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only. Derivation: Solve V=4πr³/3 for r.