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calculus

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Water is being filled into a water tank at 22 liters/second. The base of the tank has dimensions w = 1 meter and L = 2 meter . What is the rate of change of the height of water in the tank? (express your answer in cm/sec).

  • calculus -

    I am assuming that your tank is rectangular.

    Let the water level be h metres high.

    V = (100)(200)(h) = 20000h cm^3 , and 1 L = 1000 cm^3
    dV/dt = 20000 dh/dt


    22000 = 20000 dh/dt
    dh/dt = 22000/20000 cm/sec
    = 1.1 cm/sec

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