A cylindrical water tank with radius 2 feet and length 6 feet is filled with water to a depth of 3 feet when in a horizontal position

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horizontal-position

#1

A cylindrical water tank with radius 2 feet and length 6 feet is filled with water to a depth of 3 feet when in a horizontal position. If the tank is turned upright, what is the depth of the water? Give your answer in terms of π.

Answer:

When horizontal you know that the diameter equals 4 feet, so if the tank is filled 3 feet then it is filled 3/4. when turned upright the tank is still 3/4 full meaning it is 3/4 of 6, 4.5. The tank is 4.5 feet deep