Posted by karlei on Friday, April 16, 2010 at 12:00am.
Find the volume of the solid formed by revolving the region bounded by the graphs of y=3(x^2) and y=2 about the line y=2

calculus  Reiny, Friday, April 16, 2010 at 8:30am
Hint:
Why don't you translate the whole configuration down 2 units?
Then you would "find the volume of the solid formed by revolving the regions bounded by the graphs of y = 1  x^2 and the y=2 (the xaxis) about the xaxis"
Hint #2
By the "Justlookatit Theorem" the xintercepts are ±1 and there is symmetry, so you could just take it from 0 to 1 and double that.
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