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Math Help - Volume of ellipical region..integrals

  1. #1
    Member zangestu888's Avatar
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    Volume of ellipical region..integrals

    Find the Volume of the described solid S.

    The base of S is an elliptical region with boundry curve 9x^2 + 4y^2 = 36.Cross sections perpendicular to the x-axis are isosceles triangles with hypotenuse in the base.

    The answer in my book is 24, I cant seem to even imagine the region I tried drawing the graph of the elliptical region, am not sure how the cross sections will look like? Any help much appreciated thanks
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by zangestu888 View Post
    ...isosceles triangles with hypotenuse in the base.
    huh??

    i can tell you this much, the volume is given by V = \int_{-2}^2 A(x)~dx, where A(x) is the cross-sectional area of the figure, namely the area we will get from the triangles. which as far as i can see, are confusing how you described them
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  3. #3
    Member zangestu888's Avatar
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    Not sure myself this is exactly how the question was worded lol, why cant they be more clear man
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