Funnel for PET bottle

Funnel for a PET bottle with parametric predefined values:
/* Funnel */
// Parametric dimensions in mm
T = 1.2; //wall thickness
DT = 80.0; //diameter top
DO = 32.0; //diameter outside
DI = 20.0; //diameter inside
H1 = 40.0; //height funnel
H2 = 20.0; //height outside
H3 = 15.0; //height inside

This is only the first design and can be created on any demand.
The goal is to fix the funnel on the bottle almost tightly without fixing the funnel by the hand during the filling of the bottle with a liquid.

Can be adapted for any other sizes.

Smaller Top Diameter added on July 29 2018

No supports necessary!