Answer to Question #2599 in Integral Calculus for Arieta Tekaura

Question

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.

Answer 1

Using polar coordinates lets find the volume of the solid that is above the
xy-plane and inside the ellipsoid x²/a² + y²/a² + z²/c² =1 .
Polar coordinates x= rcosφ , x= rsinφ.