This is an outstanding question. On the atomic and molecular scale rotation tends to determine the spherical shape. Molecules do tend to organize in a spherical manner on a large scale as rain drops. However, should the raindrop grow too large as it falls neck instability tends to give it a barbell shape in which it will break into more than one sphere.
But besides rotation for planets they tend to "organize" around a center of mass and gravitational forces are at work here. I welcome additional comments on this subject.
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No. It has no shape or dimensions. If it did, it would not be a point, it would be a very very very very small dot.
A ruler that can measure very small units.
Very small right
It depends on the angle where the source of light is coming from. A example is where you stand still outside and the sun is almost on top of you your shadow is very small compared to you
A sphere is the shape that holds maximum volume for minimum amount of material for the container - glass. However, a spherical jar could roll off work surfaces: not very useful. So the best compromise is a flat base but a circular cross-section. That is, a cylinder.