A ring torus is made by joining the circular ends of 1 meter long thin and elastic tube. If the radius of the cross section is 3.18 cm, how do you prove that the volume of the torus is #19961# cc?

Question

1365 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-26T09:36:23

See explanation

If a is the central radius to the axis of the torus and b is the radius of

the cross section, the volume is

#2pi^2ab^2# cubic units.

Here a = 1 meter = 100 cm and b = 3.18 cm. So, the volume is

#2pi^2(100)(3.18)^2# cc

#=19961# cc, nearly.

Had the cross sectional radius been given as

#b=1/(sqrt 2pi)# meter

#22.5079079.....#cm, the volume would be exactly

1 cubic meter.