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Volume by Cylindrical Shells (need verification)

  1. Nov 9, 2008 #1
    A hole of radius [tex]\sqrt{3}[/tex] is bored through the center of a sphere of radius 2. Find the volume removed

    4[tex]\pi[/tex][tex]\int[/tex][tex]\intx\sqrt{a^{2}-x^{2}}dx[/tex] from [tex]\sqrt{3}[/tex] to 2[tex]\sqrt{3}[/tex]?

    And then subtract this from the volume of the sphere?
    Last edited: Nov 9, 2008
  2. jcsd
  3. Nov 9, 2008 #2
    or is it from route of 3 to 2?
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