1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Related Rates and Volume and Change in height

  1. Nov 4, 2013 #1


    User Avatar
    Gold Member

    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


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

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


    User Avatar
    Gold Member

    Alright great :-)! Thanks ::)
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Threads - Related Rates Volume Date
Related Rates: Volume of Cone Nov 15, 2015
Related Rates volume change Nov 15, 2015
Related rates question involving volume of cone Nov 21, 2014
Volume; Related Rates Nov 4, 2013
Related rates and the volume of spheres Nov 11, 2010