Electric Field Inside a Charged Conductor: Explanation Needed

[Samson4]

I understand that there is no electric field inside a charged conductor, but; I don't understand why a connection to ground made on the inner surface of said sphere will flow current. Is this not correct?

 

[IgorIGP]

In nature there are no spheres, but there are thin-walled hollow balls f.e. . Could you draw that grounded conductor rather large scale?

 

[Samson4]

I can if you'd like. I am talking more about running a ground wire into the dome of a van de graff generator. If the conductor was properly shielded and insulated, would it in fact discharge a charged dome?