Solution: What is the volume generated by revolving this area about the y-axis?

Given the area in the first quadrant by x^2 = 8y, the line x = 4 and the x-axis. What is the volume generated by revolving this area about the y-axis? How to find the volume using theorems of pappus?

What is the volume generated by revolving this area about the y-axis?

Problem Statement: CE Board May 1995

Given the area in the first quadrant by x^2 = 8y, the line x = 4 and the x-axis. What is the volume generated by revolving this area about the y-axis?

Problem Answer:

The volume generated by the curve that revolved about the y-axis is 50.265 cubic units.

Solution:

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