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A cone is glued to a hemisphere. When you place it on a table in what position does it come to rest?

Overarch 2

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This problem follows on from Overarch 1.


Bricks are 20cm long and 10cm high. If you built a tower of single bricks without using mortar on a flat horizontal surface, how tall would the tower have to be for it to overhang by 1 metre? How big an overhang is it possible to make like this?