Torus Volume Table: Volume by Major radius (R, centre to tube centre)
Reference table of volume for Torus Volume across a range of major radius (r, centre to tube centre) values — exact, engine-computed figures you can read off at a glance.
Torus Volume Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Volume
789.5684
- Surface area
- 789.5684
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Torus Volume Calculator
The Torus Volume Calculator works out your volume, along with 1 related figure in an instant. Enter major radius (r, centre to tube centre) and minor radius (r, tube radius) 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.
- Enter the major radius (r, centre to tube centre).
- Enter the minor radius (r, tube radius).
- Read off your volume, together with surface area — the calculator updates automatically, with no button to press.
Formula
The Torus Volume Calculator uses the formula:
Volume = 2 × 9.869604401089358 × Major radius (R, centre to tube centre) × Minor radius (r, tube radius) ^ 2
Worked example
For example, with major radius (r, centre to tube centre) of 10 units and minor radius (r, tube radius) of 2 units, the volume is 789.5684.
| Major radius (R, centre to tube centre) | 10 units |
|---|---|
| Minor radius (r, tube radius) | 2 units |
| Volume | 789.5684 |
|---|---|
| Surface area | 789.5684 |
Results are estimates for educational use, not professional advice.
Key terms explained
- Surface area
- The total area of all the outer faces of a three-dimensional object.
- 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.
- Area
- The amount of two-dimensional space a shape covers, measured in square units.
Frequently asked questions
Use V = 2π²Rr², where R is the major radius and r the tube radius. With R = 10 and r = 2, the volume is about 789.57 cubic units.
A torus is a donut-shaped surface formed by revolving a circle around an axis in its plane.
It is 4π²Rr. The calculator shows this alongside the volume.
The major radius R is from the centre to the middle of the tube; the minor radius r is the tube's own radius.
The Torus Volume Calculator uses the formula: Volume = 2 × 9.869604401089358 × Major radius (R, centre to tube centre) × Minor radius (r, tube radius) ^ 2. For example, with major radius (r, centre to tube centre) of 10 units and minor radius (r, tube radius) of 2 units, the volume is 789.5684.
Enter the major radius (r, centre to tube centre). Enter the minor radius (r, tube radius). Read off your volume, together with surface area — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Torus Volume: Formula, Steps & Examples
Learn how to calculate Torus Volume — the formula explained step by step, with worked examples and a free calculator to check your answer.