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Using Shell method to solve Disk method Problem

  1. Nov 3, 2012 #1
    1. The problem statement, all variables and given/known data

    Use the shell method to find the volume of the area enclosed by:

    [itex]y= 16-x^2[/itex] , [itex]y= 16[/itex],[itex]x=4[/itex], around [itex]y=16[/itex]

    2. Relevant equations

    [tex]2\pi\int (shell height)( shell radius)[/tex]

    3. The attempt at a solution

    I tried using the disk method and obtained [tex]\frac{1024}{5}*\pi[/tex]

    but I'm having trouble because they as to specifically use the shell method and so far I think the [tex]shell height = 5 - \sqrt{25-y}[/tex] , but I have no idea how to get the radius, and is the integration on y=0 to y=25?

    EDIT: Nevermind, I found the answer
     
    Last edited: Nov 3, 2012
  2. jcsd
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