(adsbygoogle = window.adsbygoogle || []).push({}); The problem reads(from Stewart CalculusConcepts and Contexts4th edition, Ch.6 section 2 pg. 447 #45

a)Set up an integral for the volume of a solid torus(the donut-shaped solid shown in the figure) with radii r and R

b)By interpreting the integral as an area, find the volume of the torus

2. Relevant equations

3. The attempt at a solution

[tex]\int\\pi(1-(R+r))^2-\pi(1-(R-r)^2))dx[/tex]

according to the back of the book this isn't correct. I basically treated this like a washer and did the area of the outer-inner functions and integrated. Heres a picture from the book that may help..

[/b]

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# Solids of rotation(volume of a torus)

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