Question: Find the volume of the solid bounded above by the plane z = y and below by the paraboloid z = x2 + y2. In

Find the volume of the solid bounded above by the plane z = y and below by the paraboloid z = x2 + y2. In cylindrical coordinates the plane has equation z = r sin ( and the paraboloid has equation z = r2. Solve simultaneously to get the projection in the xy-plane.

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