Under what condition does the center of mass coincide with the center of volume?

Answer 1

1) If the density is constant

2) If there is enough symmetry in the density and the shape to force it: spherical symmetry is enough, though not required.

Answer 2

In a sphere of homogeneous material.

Answer 3

Whenever the density is uniform. (Doesn't matter what the shape is.)

Answer 4

in any case of a regular polyhedron or sphere...........