Boneyard Tools

Sphere Volume Calculator

Enter a sphere's radius to find its volume and surface area, along with the diameter and great-circle circumference, using the exact geometry formulas.

How to find the volume of a sphere

  1. Enter the radius of the sphere.
  2. Read the volume and surface area instantly.
  3. Use the diameter and circumference for related measurements.

Examples

Radius of 3

radius = 3
volume = 113.097335, surface area = 113.097335

Unit sphere

radius = 1
volume = 4.18879, surface area = 12.566371

Frequently asked questions

What is the formula for the volume of a sphere?

The volume equals four thirds times pi times the radius cubed. Doubling the radius makes the volume eight times larger.

What is the surface area of a sphere?

The surface area equals four times pi times the radius squared. For a radius of 3 the volume and the surface area happen to share the same number.

Can I find the radius from the volume?

Yes. The radius equals the cube root of three times the volume divided by four pi. This tool's engine supports that reverse calculation.

What units does this use?

It is unit free. If you enter the radius in centimetres, the volume is in cubic centimetres and the surface area is in square centimetres.

What is the great-circle circumference?

It is the distance around the sphere through its widest point, equal to two times pi times the radius, the same as a circle of that radius.

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