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June 7th, 2009, 04:26 AM  #1 
Newbie Joined: Jun 2009 Posts: 2 Thanks: 0  A glassblower joining a math forum...
I am here for help with some problems that are beyond my rather basic skills. Rest assured, I do have some basics, and I am not completely useless. http://www.talkglass.com/forum/showthread.php?t=20213 Brian 
June 7th, 2009, 07:35 AM  #2  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: A glassblower joining a math forum...
Welcome! I'm always glad to see people with different interests joining. I like to watch glass blowing, but I've never tried it myself. (That takes, you know, stuff. ) But you're going to have to remember to spell things out for us, because we're not going to know your field. Taking the question from your example thread: Quote:
4 inches * (19^2 * pi mm^2  15^2 * pi mm^2) = 544pi mm^2 in I'll leave the units as they are (rather than multiply out the pi and convert to cubic millimeters), since they'll cancel out this way. The volume in the second case is x * (25^2 * pi mm^2  23.2^2 * pi mm^2) = 86.76pi * x mm^2 Since you want the two to be the same, 544pi mm^2 in = 86.76pi * x mm^2 544 in = 86.76 * x 544 in / 86.76 = x x = 6.27 inches But if my assumptions are wrong (maybe 38 is the interior diameter?) then the answer won't be right.  
June 7th, 2009, 07:38 AM  #3 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: A glassblower joining a math forum...
Oh, and a quick approximation (good for large, thin tubes) is old length * old diameter * old thickness / new diameter / new thickness ? new length. In this case it would suggest about 6.7 inches. That way you can check your answer  if the two come out very different, either you made a mistake on one or you're working with very fat tubing.


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