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Geometry

Torus Volume Calculator

Find the volume of a circular ring with a circular cross-section.

Use consistent dimensionsArea and volume units explained below

Shape dimensions

Runs on your device

GEOMETRIC RESULT

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter center-to-tube-center radius, tube radius.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Volume = 2π² × major radius × tube radius².

A WORKED EXAMPLE

Using center-to-tube-center radius = 5 m, tube radius = 1 m, the result is 98.696044 m³. Change these example inputs to match your task; use the method above to check each step.

What to keep in mind

Use the indicated units consistently. Ideal shapes are assumed; dimensions must describe the same object. Display rounding does not increase measurement precision.

Common questions

Which inputs does this calculation need?

Find the volume of a circular ring with a circular cross-section. Enter center-to-tube-center radius in m, tube radius in m. The filled example is editable and is not a saved personal record.

How should I interpret the result?

Use the indicated units consistently. Ideal shapes are assumed; dimensions must describe the same object. Display rounding does not increase measurement precision.

Methodology maintained by ClarityKit. How these tools are built and checked.