Consider the region in space R = {(x, y, z) E R³ : x² + y° < z < Vx² + y²}. Write the volume of R as a triple iterated integral (but do not evaluate) in spherical coordinates. Let S be the surface enclosing R. Find the outward flux of F = (x, y, z²) through S (you are not allowed to use Divergence theorem here).

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