East Battle Lake in Minnesota covers an area of about 1950 acres or 8.5X10^7 square feet and its average depth is about 3.2x10^1 feet.

a. Estimate the cubic feet of water in the lake. (hint: Volume=area x average depth.)
b. One cubic foot of water equals about 7.5 gallons. How many gallons of water are in this lake?
c. The population of the US is about 3.02 X 10^8, and the average American uses about 1.5x10^2 gallons of water per day. Could this lake supply the American population with water for 1 day?

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3 answers

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Volume = area * depth
= 1950 acres * 32'
= 1950*4840*9 sq.ft * 32'
= 2.718 * 10^9 cubic ft.
= 2.038 * 10^10 gal.

Water usage per day
= population * 150 gal / day
= 3.02*10^8 * 150
= 4.53 * 10^10 gal/day

Since 2.038*10^10 < 4.53*10^10, the conclusion is:______________________
The population of the US is about 3.02 X 10^8, and the average American uses about 1.5x10^2 gallons of water per day. Could this lake supply the American population with water for 1 day?