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Math Help - volume of a solid..2

  1. #1
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    volume of a solid..2

    Consider the region bounded by y = x3, x = 1, and y = -1. Rotate the region around the line y = -1. Sketch the region. Write an integral giving the volume of the solid.
    What is the exact volume of the solid?

    Im not sure what this question is asking... if the limits are from x=0 to x=1 rotated around y=-1... can anyone please explain this one to me, thanks
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  2. #2
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    Using washers, we can write:

    {\pi}\int_{0}^{1}(1+x^{3})^{2}dx

    Here is a graph of the solid rotated about y=-1
    Attached Thumbnails Attached Thumbnails volume of a solid..2-rotate6.gif  
    Last edited by galactus; July 25th 2009 at 01:55 PM.
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