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# Volumes of Rotation around the y-axis

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1. find the volume of the solid generated when rotating the closed region between the curves y=8(x)^1/2 and y = x^2

x^2 = y
x^2 = y^4/4096

x=4 y=16

V= π integrate{ y - y^4/4096

= π [ 4096y^2/2 - y^5/5]
is this right

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Updated: October 9, 2016
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