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thereddevils
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Homework Statement
Find the volume of solid generated when the shaded area is rotated through pi radians about the y-axis . The graphs are y=x^2 and y=2-x^2 .
Homework Equations
The Attempt at a Solution
i did everything and found the answer to be 16/15 pi but the answer given is pi .
[tex]V=\pi \int^{1}_{0}x^4 dx+\pi \int^{2}_{1}(2-x^2)^2 dx [/tex]
any mistakes in my set up ?