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HMMT 1998 K2

  • Calculus
  • Answer

A cube with sides 1 m in length is filled with water, and has a tiny hole through which the water drains into a cylinder of radius 1 m . If the water level in the cube is falling at a rate of 1 cm/s1 \mathrm{~cm} / \mathrm{s}, at what rate is the water level in the cylinder rising?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{1}{\pi} \mathrm{~cm} / \mathrm{s}

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