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Finding area between sphere and parabloid

  1. Nov 5, 2013 #1
    1. The problem statement, all variables and given/known data
    Find the volume above the sphere x^2+y^2+z^2 = 6 and below the parabloid z = 4-x^2-y^2.



    2. Relevant equations



    3. The attempt at a solution
    I did a triple integral in cylindrical coordinates
    Triple Integral: dzdrdθ
    where z is between (6-r^2)^(1/2) to (4-r^2) and dr goes from 0 to 2^(1/2) and dθ goes from 0 to 2θ. Are these the proper parameters?
     
  2. jcsd
  3. Nov 5, 2013 #2

    haruspex

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    Assuming you meant r, not dr, θ, not dθ, and 2π, not 2θ, yes.
     
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