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Given 3 circles each of radius r, stacked up into a triangular pyramid shape, find the height of the entire structure. This might be expressed more clearly in a graphical form:

http://img206.imageshack.us/img206/3646/stackcircleseb0.png

http://g.imageshack.us/img206/stackcircleseb0.png/1/

I haven't been able to answer this question for years! Any suggestions as to how to find the height h would be appreciated.

http://img206.imageshack.us/img206/3646/stackcircleseb0.png

http://g.imageshack.us/img206/stackcircleseb0.png/1/

I haven't been able to answer this question for years! Any suggestions as to how to find the height h would be appreciated.

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