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Surface Area of a Torus

  • #1
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So the first question is to find the surface area of a torus generated by rotating the circle (or shall I say semi circle) y=√r-x2 around y=r

if the idea is to find the surface are of the half torus and then multiply by 2, wouldn't it be the same for the circle (or shall I say semi circle, again) rotated around x=r???


Thanks.
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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No, I don't think so. If you rotate the same semicircle around the two different axes the surfaces look pretty different, don't they? One looks like the upper half of a full torus, the other looks like the inner half of a full torus. Don't think they are equal in area.
 

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