SOLUTION: CALCULUS(MAXIMA AND MINIMA): A rectangular trough is 3m wide and 15m long.water flows in at the rate of 3m^3/min.how fast is the surface rising? *show the illustration

Question 1044713: CALCULUS(MAXIMA AND MINIMA): A rectangular trough is 3m wide and 15m long.water flows in at the rate of 3m^3/min.how fast is the surface rising?
*show the illustration
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A rectangular trough is 3m wide and 15m long. water flows in at the rate of 3m^3/min. how fast is the surface rising?
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The cross-section is constant --> rate of rise is constant.
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Vol = L*W*H = 15*3*H = 45H
dV/dt = 45*(dH/dt) = 3
dH/dt = 1/15 m/minute
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Not really a calculus problem.

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