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Derivative of a right circular cone

  1. Nov 15, 2011 #1
    inverted right-circular cone, with radius at the top 15 meters and depth 12 meters. rate of 2 cublic meters per minute. How fast is the depth increasing at the instant when the depth is 8 meters.

    When i try to solve it I get an equation with 2 varibles.
    Last edited: Nov 15, 2011
  2. jcsd
  3. Nov 16, 2011 #2
    Note that one can relate radius r at any point to the depth h at that point. Then dV/dt will be in terms of dh/dt only.
  4. Nov 16, 2011 #3


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    Think of one side of the cone as starting at (0, 0) and going to (15, 12). What is the equation of that line?
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