Tapered height of artwork

[grahamj25667116]

Hello all, 

I am creating artwork in AI that will be eventually printed and wrapped around a circular object (like a glass candle holder). The problem I am running into is the circumference of the top of the object is 5mm larger than the circumference of the bottom of the object. When the artwork is printed and wrapped around the object the lines on the top and bottom of the artwork don't quite match up due to the taper of the object. Is there a way to format the artwork so that it has the same taper as the object itself? Thank you, 

[pixxxelschubser]

At first you will need the math for construction

Google | development of a truncated cone 

[grahamj25667116]

Ok. I have used https://planetcalc.com/3831/ to calculate