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Finding the volume using cylindrical coordinates

  • Thread starter Ki-nana18
  • Start date
  • #1
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Homework Statement


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.


Homework Equations


V= ∫∫∫dv
x= r cos θ, y=sin θ, z=z

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?
 

Answers and Replies

  • #2
91
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May I have some help on this?
 

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