Convert the triple integral to cylindrical and spherical coordinates

int (x^2+y^2)^.5 dz dx dy , z=0..(1-y^2)^.5, x=y..1, y=0..1 this is my integral which can be found here : http://m.wolframalpha.com/input/?i=int+%28x%5E2%2By%5E2%29%5E.5+dz+dx+dy+%2C+z%3D0..%281-y%5E2%29%5E.5%2C+x%3Dy..1%2C+y%3D0..1&x=0&y=0

Now that's it in rectangular coords. I need to put it in cylindrical and spherical and I don't know how to change the limits. It looks like a cylinder cut into a triangle..... Very non circular to me. Any help is welcome.

CYL : z in [ 0 , √ ( 1 - r² sin² Θ ) ] , r in [ 0 , sec Θ ] , Θ in [ 0 ,π / 4]

Note : spherical bounds are a mess