Torus Volume Calculator

What is the Torus Volume Calculator?

Calculate the volume and surface area of a torus (donut shape). A torus is a donut shape defined by two radii, one to the center of the tube and one for the tube itself.

How to use the Torus Volume Calculator

1. Enter your major radius, your minor radius.
2. Results update automatically as you type; you can also press Calculate.
3. Read the output: volume, surface area.
4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

Worked example

With major radius = 10, minor radius = 3, the Torus Volume Calculator returns volume: 1,776.5287922; surface area: 1,184.35252813.

Where the Torus Volume Calculator helps in real life

A product designer is sizing an inflatable swim ring and needs its air volume. Entering the major and minor radii gives the volume in liters.

An engineering student calculates the material in an O-ring seal using the torus formula.

Common mistakes to avoid

• Swapping the major and minor radii.
• Measuring the outer diameter as the major radius.
• Mixing millimeters and centimeters.
• Forgetting that surface area and volume use different formulas.

💡 Practical tip: A torus has two radii: the major radius for the ring and the minor radius for the tube.

Tips for better results

• Measure the major radius from the center of the ring to the middle of the tube.
• Measure the minor radius as half the tube’s thickness.
• Convert cubic centimeters to liters for air capacity.

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