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Math Calculators

Sphere Diameter from Volume Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
Verified formula Private

Diameter

10.0000

Radius
5.0000

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

How to use the Sphere Diameter from Volume Calculator

The Sphere Diameter from Volume Calculator works out your diameter, along with 1 related figure in an instant. Enter sphere 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 sphere volume.
  2. Read off your diameter, together with radius — the calculator updates automatically, with no button to press.

Formula

The Sphere Diameter from Volume Calculator uses the formula:

Diameter = 2 × pow(3 × Sphere volume ÷ (4 × 3.141592653589793), 1 ÷ 3)

Worked example

For example, with sphere volume of 523.6, the diameter is 10.0000.

Inputs used
Sphere volume 523.6
Results
Diameter 10.0000
Radius 5.0000

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

Find the radius as the cube root of 3V ÷ 4π, then double it. A volume of 523.6 gives a diameter of 10.

It reverses V = 4/3 πr³ to solve for the radius and then the diameter.

Volume grows with the cube of the radius, so recovering the radius needs a cube root.

The diameter is in the length unit matching the cubic units of the volume.

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

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