DIY Cost Tools
Sphere Volume Calculator
MATH CALCULATOR
Find the volume, surface area, and diameter of a sphere from its radius.
Use consistent units. All fields are required; absolute input values must not exceed one trillion. The model assumes a perfect sphere and does not account for wall thickness or irregular shapes.
How to use this calculator
Replace the example inputs with your measurements, then select Calculate. Results use the units shown beside each field. Keep extra precision in the inputs and round only when recording the final answer.
Formula and explanation
V = 4πr³ ÷ 3; surface area = 4πr²; diameter = 2r
A sphere has the same radius in every direction. Enter the center-to-surface distance, not the full diameter.
Worked example
With Radius (units) = 3, the results are Volume (cubic units): 113.09734; Surface area (square units): 113.09734; Diameter (units): 6.
Important limitations
The model assumes a perfect sphere and does not account for wall thickness or irregular shapes. Keep the length unit consistent.
Results are estimates based on the entered values. Numeric precision does not eliminate measurement uncertainty.
Frequently asked questions
What if I know the diameter?
Divide the diameter by two before entering the radius.
How do I get liters?
When the radius is in centimeters, divide the resulting cubic centimeters by 1,000 to obtain liters.
What happens if I leave a field blank?
The tool clears the previous result and asks for valid inputs, so an old answer is not mistaken for a new calculation.
Review notes
Reviewed October 1, 2026. Default calculations were checked independently against the displayed equations. The script validates blank, nonfinite, out-of-range, and formula-specific invalid inputs. Calculations run locally in your browser.