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

The area bounded by the curve y^2 = 12x and the line x = 3 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 curve revolved about the line?

Problem Statement: CE Board November 1995

The area bounded by the curve y^2 = 12x and the line x = 3 is revolved about the line x = 3. What is the volume generated?

Problem Answer:

The volume generated by the curve that revolved about the line is 181 cubic units.

Solution:

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