

What is the fomula for calculating the shape of a cone?
I remember reading something about taking the height and radius of a cone and plugging them into a formula to determine the angle at which to cut it. I'm writing a book about how to create paper models manually, and I need to know this formula.

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Certified Flight Instructor in San Antonio, TX at www.TexasTailwheel.com Member: Alamo Liaison Squadron Websites: www.doolittleraid.com & www.lbirds.com 


The formula with a good explanation for true cones
A sheet metal cone Another approach Learn how to layout a cone in sheet metal online tool for truncated cones Cones  Sheet Metal Transition (ONLY works with Microsoft Internet Explorer) online tool for truncated and nontruncated cones Cone and truncated cone Or you can download Siatki 1.0.1 free from Gremir Paper Models it does a few standard shapes. The paid version  Siatki v.3.2 does 25 different standard objects, plus, by using the Creators, can unfold objects limited by two flat surfaces (any shape and placement). Siatki software can also unfold toroids. Surfaces can be defined by the user or imported as DXF files. The software also allows you to insert panel lines on the created skins. 


Jon Leslie also has a coneomatic spreadsheet and info at the LHV Challenger Center on his FAQ page: http://jleslie48.com/faq.html
Yogi 


Fiddlersgreen has tips for designers.
See: Index of /tutorials On pages 4 & 5 of Desigining without CAD by Professor Kel Black, the design of cones is discussed. 


Quote:
best part is if you turn it upside down, it does a great job of holding ice cream anyway this description goes a long way in describing my page of math that I supplied. The page is a specific example where the base of the cone is 396, the top is 260 ( my cone was a truncated right angle cone) and the height of the cone was 228. Using pyrathos theorem I determined that the slant height was 237. Where you see the number 396, 260, 228, 68, on my page you should be substituting your values for your truncated right circular conic section, and solve for the arcangle in degrees, and the length of the two radii. 
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