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Cube Cylinder Related Rates

1175BeginnerCalculus

HMMT

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 $1~\mathrm{cm}/\mathrm{s}$, at what rate is the water level in the cylinder rising?
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