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The groove around the moon (Posted on 2002-05-06) Difficulty: 3 of 5
Imagine you would have to put a rope around the moon. Since the moon is 1,738,000 metres in diameter, this is a hard task. Finally you have managed to get the rope around the moon but... it is one meter short.

You decide to dig a groove all around the moon, so that the shorter rope suffices. How deep must this groove be? (Assume the Moon to be a perfect sphere.)

See The Solution Submitted by charl    
Rating: 2.9167 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution | Comment 4 of 32 |
The answer is about 16cm.

You have to reduce the diameter of the moon my 1 meter. So you have to find the difference in the radius of the moon for 1,738,000 and 1,737,999 using the equestion 2piR=Diameter for both diameters and finding the difference you get you answer.

Terry
  Posted by Terry on 2002-05-07 08:58:34
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