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nlsherrill
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The problem reads(from Stewart Calculus Concepts and Contexts 4th 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
[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]
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
Homework Equations
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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