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.)
I understand the proof, I'm just having a real hard time getting around why the difference would remain constant no matter what the circumference is...I mean it shouldn't, should it? As the circumferences increase wouldn't the (actual)diff between radii decrease to produce the same diff between C1 and C2(1m). It seems like something is missing.
I understand what you're saying...but
