Use cylindrical coordinates. (a) Find the volume of the region E that lies between the paraboloid z

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Use cylindrical coordinates.

(a) Find the volume of the region E that lies between the paraboloid z = -4 - x2 - y2 and the cone z = 2√x2 + y2.
(b) Find the centroid of E (the center of mass in the case where the density is constant).

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