All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Cutting Contrives Conical Cup (Posted on 2005-04-01)
Out of a circular piece of paper, you wish to form a cone cup, so you cut out a circle wedge (with its extreme at the circle center) and join the resulting straight sides, forming a conical cup.

What size should the wedge be, to maximize the capacity of the cone?

 See The Solution Submitted by Old Original Oskar! Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Extension to this problem... | Comment 12 of 17 |

How about an extension to this problem so that the wedge removed is also made into a second cup.  What angle is needed to maximise the volume of the two cups combined.

I thought this might be an interesting part B to the problem but I got scared by the equation I formed trying to solve it.  Can anyone help?

 Posted by Alec on 2005-04-09 10:09:56

 Search: Search body:
Forums (0)