How do I do this?

 From:  Rudy
575.1 
Dears,
I am the ultra novice....bear with me.
Did not have time to work with MOI lately, so I am now....
I am trying to create a hollow cilinder with tapered, from one point one, internal walls.
see my model.
I select the whole and then I hit "extrude", but it gives me two cilinder, (and even if I delete one, the internal walls are not tapered ).....this is not what I want....
Am I doing something wrong? (I mean...for sure....but where?)
Do I have to take another approach?

Any good soul?
(Michael, you are busy...do not bother)

Best,
Rudy