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I have equation of ellipse

$4x^{2} +y^{2} = 36$

and i know formula for volume

$v =\pi \int_{a}^{b}y^{2} dx$

but i have trouble with determining the limits which i should use in this formula. How should it be done in this case?

Zvnoky Brown
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  • Please see here: http://math.stackexchange.com/questions/601093/volume-using-cross-sections –  Dec 12 '16 at 14:16
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    From your equation, $x$ can be anywhere in $[-3,3].$ [Then $y^2=36-4x^2$ in the integral.] – coffeemath Dec 12 '16 at 14:33

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