Reconstitution returns a freeze-dried solid to solution. The amount of compound does not change — only the volume it occupies — so the concentration that results is entirely determined by how much diluent is added.
Adding 2 mL to a 10 mg vial gives 5 mg/mL; adding 1 mL to the same vial gives 10 mg/mL. Both contain 10 mg. The volume that contains a given mass follows from the same arithmetic.