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Math Help - Volume of a solid obtained by revolution

  1. #1
    Junior Member
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    Volume of a solid obtained by revolution

    Can anyone help with this one:

    The region bounded by y=2+sin x, y=0, x=0 and 2pi is revolved about the y-axis. Find the volume that results.

    I know what the graph looks like, I just don't know what to do on this one. Which method do I use--disks or washers (the topic of the homework)
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  2. #2
    MHF Contributor Calculus26's Avatar
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    This would be ideal for the shell method you obtain simply :

    2pi integral[{2x+xsin(x)}dx] integrated from 0 to 2pi

    personally I wouldn't touch it with disks and washers
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