When to use this calculator
The major radius reaches the centre of the circular tube, while the minor radius describes the tube itself.
Explore the volume & surface area calculators for other questions in this topic. For a related calculation, use the Triangular Prism Volume Calculator: Find the volume of a uniform triangular prism.
PUTTING IT INTO PRACTICE
Torus Volume: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Major radius | 5 |
| Tube radius | 2 |
| Result | 394.784176 cubic units |
- Check the input labels and enter the example values above.
- Apply the relationship: Volume = 2π² × major radius × tube radius².
- The result is 394.784176 cubic units, rounded for display.
How to interpret your result
Requires tube radius smaller than the distance from torus centre to tube centre.
Volume and surface area have different units and answer different questions. Use internal dimensions for capacity. A closed-solid surface area includes bases and lids unless the calculator explicitly describes an open shape.
Frequently asked questions
Should I use internal or outside measurements?
Use internal measurements for capacity and outside measurements for covering the exterior. Match the formula to the part being measured.
When is the torus volume calculator useful?
The major radius reaches the centre of the circular tube, while the minor radius describes the tube itself.
How do I use the torus volume calculator?
Enter major radius, tube radius. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Volume = 2π² × major radius × tube radius².
What should I check before using the result?
Requires tube radius smaller than the distance from torus centre to tube centre.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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