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Surface of a Cylinder inside a Sphere
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[QUOTE="SammyS, post: 6053398, member: 295898"] I think there is a problem with the integration limits you have. It looked like determining them might involve a lot of algebra, but your decision to project onto the yz plane makes it very straight forward. Cylinder: ##\ x^2 + y^2 -y =0 \,. \ ## This gives ##\ x^2 + y^2 = y \,.## Plug that into: Sphere: ##\ x^2 + y^2 + z^2 =1 ## Therefore, ##\ y + z^2 = 1 ## etc. [/QUOTE]
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Surface of a Cylinder inside a Sphere
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