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A cylindrical tank filled with water is placed on a horizontal surface. The tank has a diameter of 2 meters and a height of 5 meters. A small hole with a diameter of 2 millimeters is drilled at a height of 4 meters from the bottom of the tank. Find the time it will take for the water level to drop to 3 meters. Also, determine the frequency of the vibrations produced by the water flowing through the hole assuming the hole acts like an orifice.
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<|begin_of_thought|>

Deep Thought is thinking for 7.5 million years.

<|end_of_thought|>

<|begin_of_solution|>

The answer is 42.

<|end_of_solution|>