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Torus Volume and Surface

Find a ring torus’s volume and surface from major and tube radii.

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Your numbers

Local calculations. Results are estimates, not professional advice.

Physical volume

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Use consistent units. The result follows the assumptions you enter.

Formula

V=2π²Rr²; S=4π²Rr

Find a ring torus’s volume and surface from major and tube radii.

Worked example

Major radius (m)
3
Tube radius (m)
1
Physical volume
59.2176264065 m³
Surface area
118.435252813 m²

Scope and limitations

Use consistent units. The result follows the assumptions you enter.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 95b8fda9258e · Example checked:

Methodology

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