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Homework Statement
The problem is that an ellipse (centered at origin) is revolved about y-axis. Now I have to find the volume of this swept region. But how do I go about using calculus? I have to derive it.
Homework Equations
Volume of ellipsoid = 4/3*pi*abc (source wikipedia)
Equation of ellipse: x^2/a^2 + y^2/b^2 = 1
The Attempt at a Solution
integral(pi*a*b*dθ), limits 0 to pi. What is wrong with this?
Now I know after searching that the volume is given by integral(pi*y^2*dx), limits -b to b, but how do you get this?