I am stuck with my IB Maths IA for SL and I don't know what to do. I was thinking about doing calculus such as finding the volume of tori, but is it too easy? I don't really know how to apply and relate it more to maths, so that I could write more and maybe get a better grade. May someone help me please?
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- Thread Starter
- 27-10-2016 15:00
- 27-10-2016 18:40
You don't need to do any calculus. A torus is basically a curved cyliner, and you find the volume the same way. You find the area of the base of the cylinder (the cross section of the torus) and times it by the length (the diameter of the torus which goes through the middle of the structure).
So if you let r be the radius of the cross section and R be the radius of the torus itself (from the centre of mass to the middle of a cross-section). Then it would be:
(the cross section) times by (the diameter of the torus)