# Volume of a torus Calculator

## Calculates the volume and surface area of a torus given the inner and outer radii.

 inner radius a outer radius b b≧a 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit volume V surface area S
Volume of a torus
 [1-10] /63 Disp-Num5103050100200
[1]  2020/04/03 09:00   Male / 60 years old level or over / A retired person / Very /
Purpose of use
Evaluate torus as ideal shape for closed environment of future cities. Rain capture, internal atmosphere and climate control, population density and mobility, regional adaptability for construction, other considerations.
[2]  2020/03/27 09:03   Female / Under 20 years old / Elementary school/ Junior high-school student / Very /
Purpose of use
to help under stand how to find volume of different shapes
[3]  2020/02/21 12:25   Male / 50 years old level / An office worker / A public employee / Very /
Purpose of use
Finding volume of a easy to buy void to reduce the volume of a water tank
Comment/Request
Is the volume answer in cubiic units?
[4]  2019/12/22 03:44   Male / 60 years old level or over / An engineer / Useful /
Purpose of use
comparison of internal volumes of BMX tires, assumed to track elastic properties
[5]  2019/10/08 03:40   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Decided to draw isometric sketches of shapes from online pages and the input units to find various calculations. This was all done out of boredom and I enjoy it.
Comment/Request
I had no idea that this site existed and am going to recommend this to others. Personally, I love looking at formulas as well. All I ask is the addition of a truncated torus and partial torus. what I mean is page for a torus but the cylinder that makes it up is like the cylinder on the "volume of a partial right cylinder" page, and another page for a torus but its cylinder does not wrap around all the way. The second one could just be "(torus formula) divided by degree of angle" or something like that, but I just would like to make sure. Thanks for the knowledge though!
[6]  2019/08/30 02:38   Male / 30 years old level / An engineer / Very /
Purpose of use
determine volume of o-ring
Comment/Request
thanks
[7]  2019/06/14 06:34   Male / 60 years old level or over / A retired person / Very /
Purpose of use
Calculating how long it might take to manually pump up one of the new 26 x 4 inch "fat tires" on an MTB.
[8]  2018/11/27 17:14   Male / 60 years old level or over / Self-employed people / Very /
Purpose of use
Volume of o ring.
Comment/Request
Enhancement suggestion. Calculating volume of O ring sold as 13.95 inside diameter and 2.62mm thickness required use of another calculator before use of torus calculator. 15mm by 2mm O ring can be done in my head before using Torus calculator
[9]  2018/11/16 03:54   Male / 50 years old level / An engineer / Very /
Purpose of use
As a demonstration tool
Comment/Request
Since o-rings are typically specified (& sold) by inside diameter and the cross section this would be a very useful (& time saving) option
[10]  2018/10/02 06:19   Male / 30 years old level / An office worker / A public employee / Very /
Purpose of use
Checked against what I guessed would be the volume of a torus. My equation was longer, but this was the simpler version.

I guessed it was the radius of the torus, times the average of the circumferences.
Pi*[(b-a)/2]^2*[(2*Pi*b)+(2*Pi*a)/2]

Turns out I was right, and after factoring it out, I reduced it to the same equation.
Comment/Request
It's great. A note explaining that it is similar to calculating a cylinder, and that you are averaging the circumference to get the "length" would be nice.

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