While escaping from the Temple of Gloom, Tennessee Jones becomes trapped in an e

Question

While escaping from the Temple of Gloom, Tennessee Jones becomes trapped in an empty cylindrically-shaped well, 12 ft in diameter and 24 ft deep. A water pipeline passes through the wall, and seizing a sledge-hammer, which happens to be lying close by, Tennessee Jones smashes a hole in the pipe causing water to flood the wall at the rate of 4500 gpm. How long must tennessee jones remain afloat until the water reaches the top of the wall and can escape? (min)

gpm=> gallons/min , 1 ft = 7.48 gallon

Explanation / Answer

Flowrate Q = 4500 gpm = 4500/7.48 ft^3/min = 601.6 ft^3/min

Volume of well = 3.14/4*12^2 * 24 = 2712.96 ft^3

Time taken = 2712.96 / 601.6

= 4.51 min

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