20 oz tumbler wrap template

Designing graphics to wrap around a drink cup is not so fun to do unless the person doing the work really loves math. I attached an image from a work file I made back in 2007. A local drive-in burger restaurant needed a great big version of one of their soft drink cups made for a parade float. I had to make identical graphics for this great big cup.

I visually drew out a side view of the cup, recording the diameter of the top and bottom. I drew out a convergence point below the cup. Then I did a bunch of other things to arrive at the right arc shape I need for the graphics to wrap around the cup. I used Illustrator's Arc effect to warp the graphics to fit that shape.

Jorbill,

Reply edited owing to a different interpretation.

What is the height of the label?

It is needed because you can create an infinite number of labels with those widths and diameters with any conical shape possible, and it is needlessly inaccurate to use an approximate height based upon the template, which looks like 6.67 cm based upon the right part of the screenshot; the left part having different proportions.