use shell method to find the volume of the following solid.
The ellipsoid formed when the ellipse x^2+11y^2=121 is revolved about the y-axis.
Please show steps on how problem is done, thanks!

Question

use shell method to find the volume of the following solid.
The ellipsoid formed when the ellipse x^2+11y^2=121 is revolved about the y-axis. 
Please show steps on how problem is done, thanks!

anonymous · Answer

to simplify things, we can just take the volume of the region in the first quadrant, rotate it about the y-axis then multiply by 2... do you agree?

anonymous · Answer

hello?

anonymous · Answer

yes go ahead!

anonymous · Answer

$$4\pi \int\limits_{0}^{11}x \sqrt{11-x^2/11}dx$$

anonymous · Answer

it's actually v=$$484\sqrt{11} \pi/3$$