» Volume of a Torus


Torus volume calculator: calculate the volume of a torus from major and minor radii or diameters, convert cubic units instantly, and reverse the formula to find a missing torus dimension.

Use this torus volume calculator to quickly calculate the volume of a torus from the major and minor radii or from the major and minor diameters. It is useful for geometry, schoolwork, technical calculations, and conversions between cubic units.

You can calculate in radius or diameter mode, convert units instantly, and, if needed, use reverse calculation to find a missing torus dimension from a known volume.


Volume of a torus formulas

$$V= 2\pi^{2}Rr^{2}$$






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Volume of a Torus FAQ

What is the formula for the volume of a torus?
The formula is V = 2 pi^2 R r^2, where R is the major radius from the center of the torus to the center of the tube, and r is the minor radius of the tube itself.

Can I calculate torus volume from diameters?
Yes. The calculator supports major and minor diameters and converts them to radii internally before calculating the torus volume.

What is the difference between major radius and minor radius?
The major radius measures from the center of the torus to the center of the tube, while the minor radius measures the radius of the tube cross-section.

Can I convert torus volume into other units?
Yes. The result can be shown in different cubic units, which is useful for design, engineering, and unit-conversion work.

Can I solve for a missing major or minor dimension?
Yes. Reverse calculation can determine a missing major radius, minor radius, or their diameter equivalents when the torus volume and the other required values are known.


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