SOLUTION: An average family of four uses roughly 1200 liters (about 300 gallons) of water per day. (One liter = 1000 cm3.) How much depth would a lake lose per year if it uniformly covered a

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Question 1091683: An average family of four uses roughly 1200 liters (about 300 gallons) of water per day. (One liter = 1000 cm3.) How much depth would a lake lose per year if it uniformly covered an area of 64 square kilometers and supplied a local town with a population of 30,000 people? Consider only population uses, and neglect evaporation and so on.
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
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30,000 people consume   1200*30000*365/4 = 3285*10^6 liters of water per year = 3285*10^3 cubic meters of water per year.


I divided by 4 accounting for the fact that the average family consists of 4 people.


To find the depth the lake would lose per year, divide this volume by the area of the lake which is equal to


64 square kilometers = 64*10^6 square meters,  and you will get


%283285%2A10%5E3%29%2F%2864%2A10%5E6%29 = 3285%2F64.10%5E%28-3%29 = 0.051 m = 5.1 cm.