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.)

The required depth of the groove is  approximately 15.92 centimeters.

Edited on June 7, 2008, 4:29 pm

Posted by K Sengupta on 2007-05-15 04:19:42