calculus

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A rectangular prismatic tank has the following dimensions :length is 3 m, width is 2m . And depth is 3m .it is being filled with water and the surface level is rising at 20cm/min.what is the inflow rate of water at the tank ?

  • calculus -

    Ok, volume= 1/2*width*height*length

    but the width of the top is 2/3 * height

    volume= 1/2 *2/3 h^2*length

    dv/dt=2/3 h*length dh/dt

    You are given dh/dt, compute dv/dt. Now note that you cant answer this unless you know the depth at that time.

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