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Math Help - Volume by cylindrical shells

  1. #1
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    Volume by cylindrical shells

    Find the volume given the problem:

    The region bounded by y = cos(x) and y = x^4 about  x = 2.

    I need help finding the radius.

    So far, I know that the boundaries are  [-.891,.891] and that h= cos(x) - x^4.
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  2. #2
    MHF Contributor Calculus26's Avatar
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    See attachment-- in general draw in a representative rectangle at

    x and consider the distance to the axis of rotation
    Attached Thumbnails Attached Thumbnails Volume by cylindrical shells-shells.jpg  
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