Pattern for a Truncated Cone

From My E-Mail:

Jim,

How do I make a pattern for a cone that is 12 inches tall and has a base diameter of 24 inches and a top diameter of 8 inches.Can you share the formula with me please?I know how it looks but it would take a lot of trial and error to get the measurements right.It is a transition for some pipe flues.

Thanks, Carl Condray, West Texas

As I understand what Carl needs to have, we want a pattern of this conical pedestal  rolled out into a flat sheet.

Produce the pattern for cutting the material from a flat sheet to produce this cone with the tip cut off.

Need Help?

Yes. Click here for HINT to get started.

No. Proceed.

Click HERE for a solution. (to compare with your own).

Click HERE for an Excel write-up for a similar problem. The write-up was prepared by Simon Harders, Albury, N.S.W., Australia. Simon was trying to construct a variety of alcohol burners from beer cans and needed to construct truncated cones.

Paula wants to make a truncated cone where the height is 7 inches, the diameter of the base is 2 inches and the diameter of the top is .25 inches. This is a smaller, thinner truncated cone.

Click HERE to see a solution for Paula.