Just a drop in the bucket

Classical Mechanics Level 3

If approximately \(70 \% \) of the Earth's surface is covered with water, what is the order of magnitude for the number of raindrops in the world's oceans?

Hint: The order of magnitude of \(2478 = 2.478 \times 10^{3}\) is \(3\).

Details and assumptions

  • The earth's radius is \(6380~\mbox{km}\).
  • The radius of a raindrop is \(1~\mbox{mm}\); raindrops can be approximated to be spherical.
  • The average ocean depth is \(2~\mbox{km}\).

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