SOLUTION: Which of the following represents the volume of the solid formed by revolving the region bounded by the graphs of y = x^3, y = 1, and x = 3, about the line x = 3?

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Question 1029013: Which of the following represents the volume of the solid formed by revolving the region bounded by the graphs of y = x^3, y = 1, and x = 3, about the line x = 3?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Use the disk method.

Integrate in y from y = 1 to y = 27 (the graphs of and intersect at (3,27). For a given y, the radius of each cross-section is (it's easier to draw it out). Then the volume is equal to the integral