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Brain breaker riddle

 
 
devlin
 
Reply Wed 1 Jul, 2009 09:59 am
The flagpole on the roof of the a Chocolate Factory is 13 cm in diameter and a perfect cylinder. If one end of a 2300-cm-long string is attached to the top of the flagpole, and wraps around the flagpole exactly 16 times before ending at the bottom of the flagpole, how tall is the flagpole? Please round to the nearest centimetre, and submit only a number
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Merry Andrew
 
  1  
Reply Wed 1 Jul, 2009 11:14 am
@devlin,
That's not a riddle. It's a maths problem to solve. Maybe someone will come along to solve it for you.
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fresco
 
  1  
Reply Wed 1 Jul, 2009 12:57 pm
@devlin,
From this discussion

http://www.physicsforums.com/showthread.php?t=94758

it looks like a formula for the vertical distance d of one turn of the helical spiral is given by
d=sqrt(l^2-4pi^2 r^2) where l = 2300/16 and r=13/2
The height of the pole would therefore be 16 times that.
fresco
 
  1  
Reply Wed 1 Jul, 2009 01:10 pm
@fresco,
=appx 2270 cm
fresco
 
  1  
Reply Wed 1 Jul, 2009 01:40 pm
@fresco,
CORRECTION

appx 2205 cm

(I forgot to square PI)
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