📐 Geometry

Torus Volume Calculator

Calculate the volume and surface area of a torus (donut shape).

Results

Volume
1,776.5287922
Surface area
1,184.35252813

📊 Torus Volume Calculator chart

How the volume changes as the minor radius (r) varies. The orange dot marks your current value.

What is the Torus Volume Calculator?

Calculate the volume and surface area of a torus (donut shape). These geometry calculators work out area, perimeter, volume and surface area for common shapes. Units are flexible — enter every length in the same unit and the answer comes back in that unit (squared or cubed).

Torus Volume Calculator – free online geometry tool illustration
Torus Volume Calculator — free, exact and private.

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

V = 2π²Rr² SA = 4π²Rr

Worked example

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

Tips for better results

  • Keep all measurements in one unit before calculating.
  • Area units are squared (m², ft²) and volume units are cubed (m³, ft³).
  • Use our area and volume converters to switch units afterwards.

Frequently asked questions

What does the Torus Volume Calculator do?

Calculate the volume and surface area of a torus (donut shape).

How is it calculated?

The Torus Volume Calculator uses this method: V = 2π²Rr²; SA = 4π²Rr.

Can you show an example?

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

Is the Torus Volume Calculator accurate?

Yes. It uses standard formulas and exact constants, and the results are verified by our automated test suite. Values are displayed to up to 12 significant digits.

Is this tool free and private?

Yes — the Torus Volume Calculator is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.

Related tools

📬 Get new tools first — free

Join Taurang to hear about new calculators, converters and features. No spam; unsubscribe anytime.

Create free account