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Find the volume of S

  1. Jul 27, 2008 #1
    The base of S is an parabolic region {(x,y)|x^2<y<1}. Cross-sections perpendicular to the y-axis are equilateral trinagles
    pls help
    no clue
  2. jcsd
  3. Jul 28, 2008 #2
    Draw it out. The cross-section in the yz-plane is half of a parabola: the heights of the triangles.The easiest way to approach the volume of this shape is to use your knowledge of the area of each triangle.
  4. Jul 28, 2008 #3


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    Science Advisor

    This is a standard homework problem so I am moving this to the homework section.

    It will help you to know that if an equilateral triangle has side length s, then it has altitude [itex]\sqrt{3}s[/itex] and so area [itex](\sqrt{3}/2)s^2[/itex].
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