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I have found an image that shows my problem pretty well. At the top, you can see a single phere stacked ontop of three other ones. Let's say the radius of all the spheres is a. I would like to calculate the height of a pyramid consisting of 4 such spheres, but I am completely lost how to do it. I tried applying pythagoras theorem on the spheres, but I can't find any way that works.

enter image description here

user
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CodeSharpMarvin
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  • you may want to read about the cannonball problem https://en.wikipedia.org/wiki/Cannonball_problem – Vasili Mar 21 '18 at 12:29
  • @CodeSharpMarvin Please remember that you can choose an answer among the given if the OP is solved, more details here https://meta.stackexchange.com/questions/5234/how-does-accepting-an-answer-work – user Mar 22 '18 at 21:17

1 Answers1

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HINT

Four spheres are arranged in such way that their centers form a tetrahedron.

enter image description here

user
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