What is the maximum height for a mountain on Earth!? And why?

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Created by Henry Reich, with Alex Reich, Peter Reich, Rose Eveleth, Emily Elert, and John Guittar. Music by Nathaniel Schroeder http://www.soundcloud.com/drschroeder Thanks to ScienceAlert for support - http://www.sciencealert.com Special thanks to Ryan Loomis and TED-Ed for contributions.

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REFERENCES

Scheuer, P. A. G. 1981. How High Can A Mountain Be? J. Astrophys. Astr. 2: 165--169. http://www.ias.ac.in/jarch/jaa/2/165-169.pdf