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## Main Question or Discussion Point

The quadrant of the ellipse [tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}[/tex] = 1. lying in the first quadrant, revolves about the line joining the extremities of the major and minor axis. Show that the volume of the solid generated is [tex] \frac{\pi a^2 b^2}{\sqrt{a^2+b^2}}[/tex] ([tex]\frac{5}{3} - \frac{\pi}{2}[/tex]).

I tried the above question and it was a lot of intricated.Pls tell me some shortest route to the problem

I tried the above question and it was a lot of intricated.Pls tell me some shortest route to the problem

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