Monday, 19 August 2013

Volume By Slicing & Revolutions - Generalizations?

Volume By Slicing & Revolutions - Generalizations?

In single variable calculus there are the techniques of cross-sectional
areas, volume by slicing, & volumes of solids of revolution (disks,
washers, shells). Are these special cases of some concepts in double &/or
triple intergals or are they just convenient tricks one can do with single
variable integrals? A reference would especially be appreciated if
possible - thanks!

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