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Thread: Related Rates of a Cylinder

  1. May 10th 2012, 03:27 PM #1
    titansfreak93
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    Related Rates of a Cylinder

    Water is being pumped into a vertical cylinder of radius 4 meters and height 15 meters at a rate of 2 meters3/min. How fast is the water level rising when the cylinder is half full?
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  2. May 10th 2012, 03:54 PM #2
    skeeter
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    Re: Related Rates of a Cylinder

    Quote Originally Posted by titansfreak93 View Post
    Water is being pumped into a vertical cylinder of radius 4 meters and height 15 meters at a rate of 2 meters3/min. How fast is the water level rising when the cylinder is half full?
    V = \pi r^2 h

    since radius is constant ...

    V = 16\pi h

    you are given \frac{dV}{dt} , take the time derivative of the volume equation and determine \frac{dh}{dt} ... you'll find that the amount in the cylinder doesn't matter.
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