Center of mass of constant-density solids 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 solid bounded by the upper half (z ≥ 0) of the ellipsoid4x2 + 4y2 + z2 = 16

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Center of mass of constant-density solids 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 solid bounded by the upper half (z ≥ 0) of the ellipsoid
4x2 + 4y2 + z2 = 16

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