Estimation quiz!

[Valentin Albillo]

(08-03-2020 07:56 AM)EdS2 Wrote:  Excellent - so 23 is a solid answer, and Valentin's estimate of 23 is spot-on. Valentin, that's a very good estimate indeed, and I'd love to know how you approached it.

Quite simple, actually. As I explained above, 13 spheres of unit diameter will exactly fit into a larger sphere of diameter 3.

Now, Earth's mean radius is ~6371.0 km, while the Moon's is ~1737.4 km.

Thus, the expected number of spheres is just a matter of scaling, namely:

      #Moons_within_hollow_Earth = INT(((6371.0 / 1737.4) / 3)^3 * 13) = 23

Regards.
V.