Question: A solid W lies Within the cylinder 932 + 112 = 1, below the plane 2 = 4, and above the paraboloid z = 1


A solid W lies Within the cylinder 932 + 112 = 1, below the plane 2 = 4, and above the paraboloid z = 1 :52 yz. The density p(:c, y, 2) at any point is proportional to its distance from the axis of the cylinder and is given by p(m, y, z) = K :62 + $42, Where K is the proportionality constant. (i) Express the domain W in cylindrical coordinates. (ii) Integrate p(9:, y, 2) over 7/ using cylindrical coordinates
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