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large, cylindrical water tank with diameter 3.00 m is on a
platform 2.00 m above the ground. The vertical tank is open to the air
and the depth of the water in the tank is 2.00 m. There is a hole with
diameter 0.500 cm in the side of the tank just above the bottom of the
tank. The hole is plugged with a cork. You remove the cork and collect
in a bucket the water that flows out the hole. (a) When 1.00 gal of water
flows out of the tank, what is the change in the height of the water in the
tank? (b) How long does it take you to collect 1.00 gal of water in the
bucket? Based on your answer in part (a), is it reasonable to ignore
the change in the depth of the water in the tank as 1.00 gal of water
flows out?
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