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.)

Surely its the Circumfresnce, not the diameter of the moon you need to reduce by 1 meter...

First calculate the circumfrence... Cm = π(D/2)^2

Then subtract 1

Then get the new radius... Nr = √Cm/π

Then subtract the new radius from the old one: D/2 - Nr

answer = 0.00000018m

Posted by Mike on 2002-07-24 05:25:51