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Math Help - Integration : Volumes bounded by the y-axis (Help Please)

  1. #1
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    Integration : Volumes bounded by the y-axis (Help Please)

    If anyone can help me understand how to do this question, it would be greatly appreciated.

    'A bird bath is made by rotating the area bounded by the parabola
    y= 1/3x^2, the y-axis and the line y=5. What volume of water does the bird bathhold when it is full?'
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by Emililypad View Post
    If anyone can help me understand how to do this question, it would be greatly appreciated.

    'A bird bath is made by rotating the area bounded by the parabola
    y= 1/3x^2, the y-axis and the line y=5. What volume of water does the bird bathhold when it is full?'
    use Washer method

    \frac{x^2}{3}=5

    x=\mp \sqrt{15} now use Washer method

    \int_{-\sqrt{15}}^{\sqrt{15}} \pi \left(25-\frac{x^2}{3}\right)^2 dx
    Last edited by Amer; August 11th 2009 at 01:38 AM.
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