SOLUTION: Josephine fills up a swimming pool, measuring 30 m by 16 m, using a hose of radius 6 cm. If the pool is flat and the water flows at 18 km/h, what will be the depth of water (in cm)

Question 825275: Josephine fills up a swimming pool, measuring 30 m by 16 m, using a hose of radius 6 cm. If the pool is flat and the water flows at 18 km/h, what will be the depth of water (in cm) in the pool after 2.5 hours? Round off your answer to 3 significant figures.
Answer by josgarithmetic(39628) (Show Source): You can put this solution on YOUR website!
Do everything in meters, and convert to centimeters for height at the end of the process.

Flow rate is in terms of length of water as if it were a tube. Cross section area is and for 2.5 hours of flow time, this is a volume of

Now, what is the height in the tank in meters?
Let h = height in meters, to be later converted into centimeters;

h=1.06 meters, or 106 centimeters.
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