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Math Help - Volume of revolution

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    Volume of revolution

    Find the volume generated by the rotation of the region bounded by y = (x-4)(x-2) and y = 0 about y = 3.
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Shyam View Post
    Find the volume generated by the rotation of the region bounded by y = (x-4)(x-2) and y = 0 about y = 3.
    did you sketch the region? we employ the disk (washer) method here. note that the inner radius r is 3, while the outer radius R is 3 - (x - 4)(x - 2) = 6x - x^2 -5

    the volume of revolution is given by V = \pi \int_2^4 (R^2 - r^2) ~dx
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