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Math & statistics

Torus volume

Torus volume: For a ring torus, volume = 2π² × major radius × tube radius².

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How it works

For a ring torus, volume = 2π² × major radius × tube radius². The major radius must exceed the tube radius.

Input definitions

Major radius: centre to tube centre
Enter the value in the labeled unit.
Tube radius
Enter the value in the labeled unit.

A worked example

Major radius: centre to tube centre
5
Tube radius
1
98.696044

Assumptions & limits

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

Which radius is the major radius?

It is the distance from the centre of the whole torus to the centre of its circular tube, not the outside radius.

How does Torus volume work?

For a ring torus, volume = 2π² × major radius × tube radius². The major radius must exceed the tube radius.

What should I check before using Torus volume?

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

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