A cone with the top cut off

HOME

Math Central

Quandaries & Queries

Q0uestion from Paul, a parent:

I'm trying to calculate and make a cone. I've found helpful information
on your site but it just doesn't quite answer for me.

I am making a cone with a base diameter of 1300, a top diameter of 500, a side length
800. I need to workout so I can draw it out flat, cut it out, and make into
a cone.

Hi Paul,

What you have is a truncated cone. You didn't give units but I expect they are millimetres.

Look at Penny's response to Russell's question. Using your dimensions and the notation from Penny's response I get x = 500 mm. This then gives |AD| = 1453.44 mm and |AE| = 559.02 mm. The arc FD in the second diagram has length 1300 π mm which gives me the angle measure of t = 161 degrees.

You should check my arithmetic.

Harley

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.