Sphere Volume Calculator

Compute the volume occupied by a sphere instantly using the classic 4⁄3 π r³ relationship. Ideal for physics problems, storage tank sizing, or understanding volumes of spherical objects.

Enter the radius in any length unit. The result will be in cubic units of that same system.

Verify dimensions and safety factors separately when sizing pressurised vessels or structural components.

Examples

  • Radius 1 ⇒ 4.1888 unit³ (a sphere with 1-unit radius).
  • Radius 3 ⇒ 113.0973 unit³, suitable for estimating a 3 m radius dome.
  • Radius 0.75 m ⇒ 1.7671 m³, comparable to a small spherical tank.

FAQ

Can I enter diameter directly?

Measure the diameter and divide by two before entering the radius. The formula is based on radius.

Why is the result in unit³?

Volume is three-dimensional. If you input metres, the output is in cubic metres; if you input inches, the output is cubic inches.

How accurate is π in this calculator?

It uses Math.PI (≈ 3.141592653589793), providing full double-precision accuracy for engineering work.

Additional Information

  • Formula: V = (4/3) × π × r³. Doubling the radius increases volume by a factor of eight.
  • Use diameter ÷ 2 if measurements are provided across the sphere instead of the radius.
  • For partial spheres (domes or spherical caps), combine this result with geometric formulas for the section removed.
  • Convert cubic units as needed: 1 m³ = 1,000 litres, 1 ft³ ≈ 7.48 US gallons.

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