Indestructible Lasagna Tower

Calculus Level 5

Show that it is possible to make a stack of lasagnas of the same size, shape, and mass, so that the top lasagna extends any distance at all beyond the edge of the table without falling off if the stack is high enough. Assume a purely mathematical center-of-mass approach - that is, the lasagnas stack perfectly as intended and nothing breaks their structure. One lasagna used per layer.

With that in mind, how many identical stacks will it take to have the top lasagna on the stack be 10 lasagna-lengths away from the edge of the table the lasagnas are stacked upon?


\(\small{\text{A lasagna:}}\)

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