Math & Statistics

Volume of Sphere Calculator

Enter a radius or diameter to calculate a sphere's volume and surface area, with a visual diagram.

Enter Sphere Measurement

Results

r = 5 cm

Volume

523.5988 cm³

Surface Area

314.1593 cm²

Radius

5 cm

Diameter

10 cm

Great circle circumference: 31.4159 cm

How the Volume of Sphere Calculator Works

This calculator finds the volume and surface area of a sphere from either its radius or diameter. Enter one measurement, and the tool automatically computes the other along with the full geometry breakdown.

Formula

Volume = (4/3) x pi x r^3. Surface area = 4 x pi x r^2, where r is the radius.

Example

A sphere with a 5 cm radius has a volume of about 523.6 cubic centimeters and a surface area of about 314.2 square centimeters.

Limitations

This calculator assumes a perfect geometric sphere. Real-world round objects are rarely perfectly spherical, so measured volumes may differ slightly from the calculated ideal.

How to use the result responsibly

  1. Check that every input uses the unit and time period shown beside the field.
  2. Compare the result with the worked example and formula above.
  3. For financial, tax, health, or legal decisions, confirm current rules with a qualified professional or the relevant authority.

Frequently Asked Questions

How do I find the volume of a sphere from its diameter?

Divide the diameter by 2 to get the radius, then use the formula (4/3) x pi x r^3. This calculator does that automatically when you enter a diameter.

What is the difference between volume and surface area?

Volume measures the space inside the sphere in cubic units, while surface area measures the size of its outer surface in square units.

Editorially reviewed September 22, 2026. Read our calculation methodology and editorial policy.