It's true that tungsten shot will not be as dense as solid tungsten. The shot will be only about 70% the density of the solid.
It's true that lead shot is not as dense as solid lead. The shot will be only about 70% the density of the solid
But you've claimed that tungsten shot cannot be denser than solid lead... and this is untrue. Even if we are only comparing the two in air (i.e. forget the fact that water fills the voids when underwater),
density of tungsten shot = 70% density of solid tungsten = 70% of 19.3 g/cc = 13.5 g/cc
density of solid lead = 11.3 g/cc
Even in air, tungsten shot is 20% denser than solid lead.
This is not advanced logic, nor advanced science. I'm thinking this is maybe middle school level at best.
