Solution: What is the volume generated by the ellipse revolved about the line?

The area enclosed by the ellipse (x^2 / 9) + (y^2 / 4) = 1 is revolved about the line x = 3. What is the volume generated? How to find the volume using theorems of pappus?

What is the volume generated by the ellipse revolved about the line?

Problem Statement: CE Board May 1997

The area enclosed by the ellipse (x^2 / 9) + (y^2 / 4) = 1 is revolved about the line x = 3. What is the volume generated?

Problem Answer:

The volume generated by the ellipse that revolved about the line is 355.3 cubic units.

Solution:

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