\"Language\": If a person weighs 150 pounds and increases his weight by 1% then
ID: 1414045 • Letter: #
Question
"Language": If a person weighs 150 pounds and increases his weight by 1% then the increase would be 0.01(150) or 1.5lbs and his new weight would be 151.5 pounds. Now to the problem: An aquarium has the shape of a rectangular box with a rectangular base of dimensions 3.0 ft by 1.0 ft and the height of the tank is 2.0 ft. Presently the water level in the tank is 1.5 ft. The owner has exotic bottom dwelling fish that requires her to increase the pressure at the bottom of the tank by 1.0 %. How many gallons of water should she add to the tank to accomplish this?Explanation / Answer
We know that the pressure on the bottom of the tank due to water will be given by
P = rho * g * h
where rho is the density ,g isthe acceleration due to gravity and h is the height of water.
She can increase 1% pressure by increasing 1% height of water. Hence the water needed to be added is
V = 3*1*1.5 *.01 = 0.045 ft^3 = 0.336 Gal
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