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Related Rates and Volume and Change in height

  1. Nov 4, 2013 #1

    Qube

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    1. The problem statement, all variables and given/known data
    http://i6.minus.com/jErr8PMddiofz.png [Broken]


    2. Relevant equations

    V of cone = pi/3 (r^2)h

    3. The attempt at a solution

    I'm assuming this is correct and that dh/dt = 0.2 ft/min

    I basically substituted a value of h in for the radius so I wouldn't be doing multi-var calculus and differentiated from there using the chain rule as needed.

    http://i.minus.com/jUeLLF0Kxg3hp.jpg [Broken]
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Nov 4, 2013 #2

    haruspex

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    I didn't check the arithmetic in the final step, but it looks fine down to there.
     
  4. Nov 4, 2013 #3

    Qube

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    Alright great :-)! Thanks ::)
     
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