Question: Let D be the solid region in three dimensional space that lies in the first octant, and is bounded by the paraboloid \(z={{x}^{2}}+{{y}^{2}}\), the plane z = 1 the plane x-z and the plane y-z.

1. Setup the limits for an iterated integral to evaluate
   \[\iiint\limits_{D}{y\,dV}\]
2. Setup an iterated integral to evaluate
   \[\iiint\limits_{D}{y\,dV}\]
   by first integrating with respect to z . Change the xy integral to polar coordinates.
3. Evaluate one of these integrals by hand computation.

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