find the region bounded by the graph of y=x^2 and x=y^2 is revolved about the y axis, what is the volume of the solid of revolution
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Answer:V=πb∫a[f(x)]2dx. The cross section perpendicular to the axis of revolution has the form of a disk of radius R=f(x). Similarly, we can find the volume of the solid when the region is bounded by the curve x=f(y) and the y−axis between y=c and y=d, and is rotated about the y−axis.
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