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Math Help - Integral Volume Question

  1. #1
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    Integral Volume Question

    The problem is as follows:

    What is the volume of the solid of revolution obtained by rotating the region bounded by the curves
    x = y 3 − y 4 and x = 0 about the line y = −2?

    My question is why would it make any difference to the volume if the solid was revolved around y= -2 as opposed to y= 0 (or any other number for that matter)?
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  2. #2
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    Disregard this post. I have worked it out with the assistance of Paul's online calculus tutorial. Great graphics helped.
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  3. #3
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    Quote Originally Posted by p75213 View Post
    The problem is as follows:

    What is the volume of the solid of revolution obtained by rotating the region bounded by the curves
    x = y 3 − y 4 and x = 0 about the line y = −2?

    My question is why would it make any difference to the volume if the solid was revolved around y= -2 as opposed to y= 0 (or any other number for that matter)?
    because the location of the axis of rotation affects the radius of rotation, thereby changing the volume.
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