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Math Help - volume with calculus

  1. #1
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    Angry volume with calculus

    find the volume of the solid whose base is the area bounded by the lines y=1-(x/2), y=(x/2)-1 and x=0 and whose cross sections perpendicular to the x axis are equilateral triangles.

    do i do v=the integral of (1/2)(2x*x) dx
    that seems too simple...

    also, find the volume of the solid generated by revolving the region bounded by the graph y=x^2, y=4x-x^2 and revolved about the line y=6
    i got 64/3 pi, is this right?


    what am i doing wrong in these two problems?
    Last edited by terrytriangle; February 26th 2009 at 12:52 PM.
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  2. #2
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    How would you arrive at that integral?

    What is length of the base of one of those equilateral triangles? What is the height of that triangle? What is the area?
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  3. #3
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    i have no idea.its an equilateral triangle so would each side be x?
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