The shapes of these drops can be considered in terms of energy or forces.

The energies to be considered are -

Energy per unit area of air-water surface

Energy per unit area of water-metal surface

Energy per unit are of water-web surface

Gravitational energy of water.

For the smaller drops of water, gravity has little effect on the shape.  Al the drops have shapes which minimise the total energy.

In terms of forces, there must be a balance between all the forces at any of the boundaries between the substances, together with the weights if they are not negligible.

The weight of an object is proportional to the cube of its length,  is the shape remains the same.  But the surface tension forces are only proportional to length.  So expanding an object by a factor of ten increases the ratio of weight to surface tension by a factor of a hundred.  Nobody will lever make a boat float by surface tension.  On the other hand, the barbules of birds' feathers are close enough, when oiled by the bird, to repel water and keep the bird dry.  But buoyancy, not surface tension, keeps birds afloat.