Question #2599

Use polar coordinates to find the volume of the solid that is above the xy-plane, inside the cylinder x[sup]2[/sup]+ y[sup]2[/sup]-ay = 0 and inside the ellipsoid x[sup]2[/sup]/a[sup]2[/sup] + y[sup]2[/sup]/a[sup]2[/sup] + z[sup]2[/sup]/c[sup]2[/sup] = 1.

Expert's answer

Using polar coordinates lets find the volume of the solid that is above the

xy-plane and inside the ellipsoid x^{2}/a^{2} + y^{2}/a^{2} + z^{2}/c^{2} =1 .

Polar coordinates x= rcosφ , x= rsinφ.

xy-plane and inside the ellipsoid x

Polar coordinates x= rcosφ , x= rsinφ.

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