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i need math help?

the maximum flow of water in a pipe is modeled by the formula Q=Av, where A is the cross-sectional area of the pipe and v i the velocity of the water. find the diameter of a pipe that allows a maximum flow of 50ft^3/min of water flowing at a velocity of 600ft/min. round the answer to the nearest inch.

area = 50 / 600 = 1/12 ft^2 = 12 in^2

diameter = 2 sqrt( area / pi ) = sqrt( 4*12/pi ) ~ 4 inch

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