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Torus (Donut) Volume Calculator

Enter the center radius R and tube radius r to compute a torus (donut) volume with V = 2 pi squared R r squared, plus surface area, outer diameter, and inner diameter.

Input

Enter the center radius R (from the center axis to the center of the tube) and the tube radius r to calculate the volume of a torus (donut shape).

Result

R = 5r = 2

Volume

394.784176

Surface area

394.784176

Outer diameter

14

Inner diameter

6


Lengths use the same unit as the inputs, area uses that unit squared, and volume uses that unit cubed.

How it works

  • The volume is V = 2 pi squared R r squared, where R is the distance from the center axis to the center of the tube and r is the radius of the tube.
  • The surface area is S = 4 pi squared R r.
  • The outer diameter equals 2(R + r) and the inner diameter equals 2(R - r). The center radius R must be at least the tube radius r so the inner diameter is not negative.
  • Lengths use the same unit as the inputs, while area uses that unit squared and volume uses that unit cubed.

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