SOLUTION: The amount of water pumped through a hose varies directly as the square of the diameter of the hose and inversely as the time the water is turned on. It takes 3 hours to pump 500 g

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Question 596543: The amount of water pumped through a hose varies directly as the square of the diameter of the hose and inversely as the time the water is turned on. It takes 3 hours to pump 500 gallons of water through a hose with a 1 inch diameter. How many gallons of water (to the nearest gallon) can be pumped in 4 hours though a hose with a .75 inch diameter?

Answer by lwsshak3(11628) About Me  (Show Source):
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The amount of water pumped through a hose varies directly as the square of the diameter of the hose and inversely as the time the water is turned on. It takes 3 hours to pump 500 gallons of water through a hose with a 1 inch diameter. How many gallons of water (to the nearest gallon) can be pumped in 4 hours though a hose with a .75 inch diameter?
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ans: 500*4/3*(.75/1)^2=[500*4*(.75)^2]/3=375 gal