A wicked witch turned a handsome prince into a frog, and threw the prince-frog into the cold and dark bottom of the well. She then made the bucket rope disappear.
A beautiful princess-to-be was passing by and heard the croaking of the frog. She thought that he might be a prince and decided to get him out. What length of a rope does she need to find, if she can see that the diameter of a cylinder where rope rolls is 5" and she remembers that it usually takes 10 rotations to get the bucket from the bottom all the way up?
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Friday, December 11, 2009
A Fairytale Puzzle
Posted by
Maria
at
9:06 AM
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2 comments:
The length of rope to go around the cylinder once is pi*d or approximately 5"*3.1415 (or 15.7"). To go around 10 times would be 157" (or a little over 13'), plus she should leave a little extra slack and the knot as shown in the picture if she's going to use the bucket!
I hope it's really a prince!
So, she got a 14' rope, pulled out a frog, kissed it, and it turned into a prince. And they lived happily ever after.
All thanks to Kim.
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