There is a water tank which is a cuboid with base area , and height . Standing in the tank are three identical metal columns, each a cylinder of height , and base a circle of area . The tank is then filled with a volume of water.
When one column is removed, the water level drops by .
When a second column is removed, the water level drops by a further .
Find how much further the water level drops when the last column is removed.
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Hamilton Mathematical Olympiad (2025)
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