Question: A solid W lies within the cylinder m2 + y2 = 1, below the plane 2 = 4, and above the paraboloid z = 1

A solid W lies within the cylinder m2 + y2 = 1, below the plane 2 = 4, and above the paraboloid z = 1 x2 y2. The density p(x, y, 2) at any point is proportional to its distance from the axis of the cylinder and is given by p(:12, y, z) = K m2 + y2, Where K is the proportionality constant. (i) Express the domain W in cylindrical coordinates. (ii) Integrate p(:r, y, 2) over W using cylindrical coordinates

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