Geometry

Torus Volume Calculator - Calculate Torus Volume Online

Easily calculate the volume of a torus (doughnut shape) using our online calculator. Input major and minor radii to find the volume instantly. Visualize the torus in 3D.

units
units
Volume (V): cubic units
Formula Used: $$V = 2\pi^2 R r^2$$

3D Visualization

What is a Torus?

In geometry, a torus (plural tori, also known as a donut or doughnut) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution.

The volume of a torus is calculated using the formula: $$V = 2\pi^2 R r^2$$, where:

  • R is the major radius (the distance from the center of the torus to the center of the revolved circle).
  • r is the minor radius (the radius of the revolved circle).

This calculator helps you quickly find the volume of a torus by simply inputting the major and minor radii. Use it for educational purposes, design calculations, or just for fun!

Frequently Asked Questions

What is the Torus Volume Calculator - Calculate Torus Volume Online?
The Torus Volume Calculator - Calculate Torus Volume Online is an online Geometry calculator. You enter your values, and it returns the answer with the steps shown so you can follow along.
How accurate is the Torus Volume Calculator - Calculate Torus Volume Online?
The solver uses a math engine that avoids the floating-point rounding errors you get from most hardware calculators. For typical homework and professional calculations, the results will match what you would get by hand.
Can I use the Torus Volume Calculator - Calculate Torus Volume Online for professional Geometry projects?
Yes. The math behind it is standard Geometry, so the results are reliable for professional use. That said, always double-check that your inputs are in the right format before relying on the output.
Why use the Torus Volume Calculator - Calculate Torus Volume Online instead of calculating by hand?
Manual calculation is slow and error-prone, especially with multiple steps. This tool does the arithmetic for you and shows each step, so you can catch mistakes before they carry forward.
How do I format my inputs for the Torus Volume Calculator - Calculate Torus Volume Online?
Type your numbers into the input fields. Leave out units and symbols unless a field specifically asks for them. The solver handles the rest.