A cuboid box has height 10 and a square base of side length . It is put in a cylindrical water tank with base a circle of area 360. The cuboid stays at the bottom when water is added. When the box is in the tank of water with a square face against the bottom of the tank, the water reaches the top of the box. When the box is in the tank of water with a non-square face against the bottom of the tank, the water level drops by 1. The box is removed from the tank. How much further does the water level drop then?
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Maclaurin Mathematical Olympiad (2025)
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