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Homework Help: Related Rates of tank leak

  1. Mar 24, 2010 #1
    1. The problem statement, all variables and given/known data
    Water is leaking out an inverted conical tank at the rate of 50L/min. The tank has a diameter of 10m at the top and is 6m deep. if the water is rising at the rate of 4cm/min when the greatest depth is 3m, find the rate at which the water is being poured into the tank.

    2. Relevant equations
    V =1/3 pi r^2 h

    3. The attempt at a solution
    dv/dt= -50L/min
    dd/dt = 4cm/min
    then when it says find the rate at which the water is being poured into the tank. Im not sure what to do with this since we already have a dv/dt
  2. jcsd
  3. Mar 24, 2010 #2


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    Stay consistent with your variables. Is h the height of the water? If so, don't use d for that later. Remember, you have three volumetric rates involved in this problem. You have the rate volume is being added, subtracted, and the volume in the cone. You might start with an equation relating the three volumetric rates. And watch your units; you have both m and cm in the statement. Also note there is a relation between r and h.
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