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Problem 5

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The tablet shows a truncated square based pyramid that contains two spheres. Let the large sphere be S1 with a radius of r1 and the small sphere be S2 with a radius of r2. The spheres touch each other and touch the internal faces of the pyramid. Let the side of the upper square on the pyramid be length a and the side of the larger side of the square base of the pyramid be length b. So b>a. Find r2 in terms of a and b.
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A cross sectional diagram will help here