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Volume between 2 spheres

  1. Sep 22, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the volume of the solid that lies inside both the spheres
    x^2+y^2+z^2=4
    x^2+y^2+z^2+4x-2y+4z+5=0


    2. Relevant equations

    none

    3. The attempt at a solution

    I completed the square on the 2nd equation to get (x+2)^2 + (y-1)^2 + (z+2)^2 = 4

    So I have the two centers (0,0,0) and (-2,1,-2) which are 3 units apart and both have a radius of two. I think I have to take an integral, but I dont know where to go from here. Thanks for any help
     
  2. jcsd
  3. Sep 22, 2009 #2

    Dick

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    Science Advisor
    Homework Helper

    That's a great start! Now pretend you have two circles of radius 2 with centers on the x-axis that are 3 units apart, say one centered at x=0 and one centered at x=3. Could you find the volume of their intersection revolved around the x-axis? That's the same as the volume you are looking for, isn't it?
     
  4. Sep 22, 2009 #3
    Ohhh ok thank!!! I got it! :)))
     
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