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Math Calculators

Sphere Radius from Volume Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
units³
Verified formula Private

Radius

6.0000

Diameter
12.0000

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Sphere Radius from Volume Calculator

The Sphere Radius from Volume Calculator works out your radius, along with 1 related figure in an instant. Enter volume and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the volume.
  2. Read off your radius, together with diameter — the calculator updates automatically, with no button to press.

Formula

The Sphere Radius from Volume Calculator uses the formula:

Radius = pow(3 × Volume ÷ (4 × 3.141592653589793), 1 ÷ 3)

Worked example

For example, with volume of 904.7787 units³, the radius is 6.0000.

Inputs used
Volume 904.7787 units³
Results
Radius 6.0000
Diameter 12.0000

Results are estimates for educational use, not professional advice.

Key terms explained

Diameter
The distance across a circle through its centre — twice the radius.
Radius
The distance from the centre of a circle or sphere to its edge.
Volume
The amount of three-dimensional space an object occupies, measured in cubic units.

Frequently asked questions

Use r = ∛(3V ⁄ 4π). A volume of about 904.78 gives a radius of 6.

Volume grows with the cube of the radius, so reversing it to find the radius means taking the cube root.

Double the radius. The calculator shows both from the volume you enter.

It helps size tanks, balls and droplets when you know the volume but need the radius or diameter.

The Sphere Radius from Volume Calculator uses the formula: Radius = pow(3 × Volume ÷ (4 × 3.141592653589793), 1 ÷ 3). For example, with volume of 904.7787 units³, the radius is 6.0000.

Enter the volume. Read off your radius, together with diameter — the calculator updates automatically, with no button to press.

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