Sphere Calculator
Calculate volume, surface area, diameter and circumference of a sphere from its radius.
About Sphere Calculator
A sphere is perfectly round in 3D. Its volume is (4/3)πr³ and surface area is 4πr². These formulas were derived by Archimedes.
Formulas
Volume
V = (4/3)πr³
- r
- Radius
Surface Area
SA = 4πr²
- r
- Radius
Worked example
With the default values below, Sphere Calculator returns Volume of 523.5988. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Radiusminimum 0 units
- 5 units
Results
- Volume
- 523.5988 cu units
- Surface Area
- 314.1593 sq units
- Diameter
- 10.0000 units
- Great Circle Circumference
- 31.4159 units
Step by step
- 1Volume= 523.5988
- 2Surface area= 314.1593
- 3Diameter= 10
Assumptions and limits
- The result is derived only from the single input listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How do I find the radius from the volume?
r = ∛(3V/(4π)). Take the cube root of 3V divided by 4π.
What is the ratio of volume to surface area?
V/SA = r/3. As the sphere grows, volume increases faster than surface area.