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Math Help - Connected Rates of change question

  1. #1
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    Connected Rates of change question

    This is the question:

    A cone has height 6 cm. The radius of the base of the cone is increasing at 5cm/s. Find the rate of change of the volume of the cone when the radius of the base is 4cm.

    I have already worked out that the current volume of the cone is equal to 32 pi but i dont know where to go from here.

    Thanks in advance to anyone that helps!
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  2. #2
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    Jun 2008
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    You need to find \frac{dr}{dt} and \frac{dV}{dr}, then multiply them to get \frac{dV}{dt} that you need. Answer is 80\pi
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