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Math Help - Shell method (volume)

  1. #1
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    Apr 2008
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    Shell method (volume)

    i m having problems using the shell method.. basically the formula i have is integral (2 pie) (radius) (height). using this formula i have y = 2x, y = x/2, x =1, flip this about the y axis.

    how do i know which one is the height, how do i know which one is radius, if someone can help me understand this it would be greatly appreciated. answer is 1pie btw.
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  2. #2
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    Oct 2007
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    Volume by cylindrical shell about the y-axis

    V=\int_a^b 2 \pi x f(x) dx<br />

    x=radius (the radius in this case would just be x)
    f(x)= height
    a and b are the bounds

    in this case your height would be the top function-bottom function which is 2x-(x/2) and the bounds looks like it would 0 to 1.

    Hope this helps
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