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March 28, 2017

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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 - ,

    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 x-axis) about the x-axis"

    Hint #2
    By the "Just-look-at-it Theorem" the x-intercepts are ±1 and there is symmetry, so you could just take it from 0 to 1 and double that.

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