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Finding the volume using cylindrical coordinates

  1. Nov 15, 2011 #1
    1. The problem statement, all variables and given/known data
    Use cylindrical coordinates to find (a) the volume and (b) the centroid of the solid S bounded above by the plane z=y and below by the paraboloid z=x2+y2.


    2. Relevant equations
    V= ∫∫∫dv
    x= r cos θ, y=sin θ, z=z

    3. The attempt at a solution
    For the first integral I got that the limits are from r2 to r sin θ, then I integrated with respect to z, but after that I don't know where "r" begins and ends how do I find the interval?
     
  2. jcsd
  3. Nov 15, 2011 #2
    May I have some help on this?
     
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