I don't believe the ability exists to reference a hierarchy in that manner.
One method you may consider is doing a "Sheet Swap" between two sheet; one with the product hierarchy and one with the geography.
This blog lays it out nicely - Tableau Tip: Switch between views dynamically on a dashboard - The Data School
This is not the appropriate way to do this. Kindly try again and let me know the way. This is my urgent requirement in my project.
Hierarchies cannot be used in this manner. Sorry.