Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.

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the intersection (0, 0), (1,5)

V = integrate 2pi*(1-x)*ydx from 0 to 1

2pi*(1-x)*5sqrt(x) dx

=10pi*(2/3-2/5) = 20*pi*2/15

=8/3*pi

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