I'm attempting to solve the following question:
What is the volume of the region formed when the ellipse $9x^2+4y^2=36$ is revolved around the line $2x+y=5$?
My try:
$$9x^2+4y^2=36$$
$$y =\pm\frac{3}{2}\sqrt{4-x^2}$$
Then I proceeded to draw rectangles from the ellipse onto the line, which ...