Find the center of mass of the following solid, assuming a constant density of 1. Sketch the region and indicate the location of the centroid. Use symmetry when possible and choose a convenient coordinate system. Please refer to attached image and include as much steps as possible.

Find the center of mass of the following solid, assuming a constant density of 1. Sketch the region and indicate the location of the centroid. Use symmetry when possible and choose a convenient coordinate system. The region bounded by the paraboloid z = x2 + y2 and the plane 2: 4