The radius of Jupiter is 11 times the radius of the earth. Then, how many earths can we fit inside Jupiter?
Obviously, none of the "earths" is to be powdered or melted.

Perhaps you can find a range for it. First consider a cube concentric with Jupiter, whose body diagonal equals the diameter of Jupiter. Fit Earths in this cube using Kepler's conjecture. Then consider another concentric cube whose edge length equals the diameter of Jupiter. Now fit Earths in this cube using Kepler's conjecture again. This will give you a range of values the number of Earths in Jupiter can assume.

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Technically speaking, there is no fit pattern to solving it for larger numbers.

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Perhaps you can find a range for it. First consider a cube concentric with Jupiter, whose body diagonal equals the diameter of Jupiter. Fit Earths in this cube using Kepler's conjecture. Then consider another concentric cube whose edge length equals the diameter of Jupiter. Now fit Earths in this cube using Kepler's conjecture again. This will give you a range of values the number of Earths in Jupiter can assume.

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