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Noir
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Homework Statement
An ellipse is rotated around the y-axis, find the volume of this solid.
Homework Equations
x^2 / a^2 + y^2 / b^2 = 1
[tex]
\pi\int_{a}^-a x^2 dy
[/tex]
The Attempt at a Solution
I'm having trouble solving this; I know that the upper and lower bounds of the curve occur on the y-axis so I think that the ellipse equation can be rearranged to form;
x^2 / a^2 + 0 = 1
Thats where the upper and lower bounds for the integral come from.
However I know that the volume of an ellipsoid is V = 4/3*pi*a*b^2.
I just can't seem to get it to work.
Any help is appreciated :)