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Imagine S as a stack of infinitesimally thin circular disks perpendicular to the y-axis. Writing dV for the infinitesimal volume of the disk at
Imagine S as a stack of infinitesimally thin circular disks perpendicular to the y-axis. Writing dV for the infinitesimal volume of the disk at level y and thinking of as a "continuous sum" leads to the conceptual equation V = SdV. Interpreted this way, the volume of S may be written as V = 1 1 L^_^ dv = [ "` (y) dy y=0 dV For some function f(y). Find f(y)
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