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HELP! GUESS HOW MANY PAPERCLIPS IN JAR!

 
Please help me guess how many paperclips are in this jar!
Helpful measurements:
The Jar: 6.5 litre capacity
Length and width of 1 paperclip: 2 x 0.5 inches
 
 
If you could help thatd be amazing! Thank you so much! Means a lot! :)
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1 Answer

First you have to figure out the volume occupied by one paper clip you were only given basically the length. You need to know the diameter of the wire the the paper clip is made from.
 
If d is the diameter of the wire in inches and L is the total (unwound) length of the wire then the volume of the paper clip is Vc=πd2L/4 to convert this, which is in in3 to litres multiply by 1.639x10-2 now you have the volume of one paperclip in l's. If you now divide 6.5 by this number you will have an estimate of how many clips might fit in the jar.The exact number will depend on the geometry of the jar and how closely you can pack the clips in it. For example if the wire were 1/32" dia. and the length were 2.5" the approx number of paperclips the would fit is 207,000.
 
Hope this helps
Jim