Solution: What is the volume generated when the area is revolved about the line y – 2 = 0?

Given the area in the first quadrant bounded by x^2 = 8y, the line y – 2 = 0 and the y-axis. What is the volume generated when the area is revolved about the line y – 2 = 0?

What is the volume generated when the area is revolved about the line y – 2 = 0?

Problem Statement: CE Board November 1994

Given the area in the first quadrant bounded by x^2 = 8y, the line y – 2 = 0 and the y-axis. What is the volume generated when the area is revolved about the line y – 2 = 0?

Problem Answer:

The volume generated by the parabola that revolved about the line is 26.81 cubic units.

Solution:

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