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Math Help - Need to find the height of something based on certain information.

  1. #1
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    Need to find the height of something based on certain information.

    I know the answer to the problem (5.508), but I'm not sure how to do it myself for a test or something. If someone could do it out so I can learn how to do it, because I have bout 6 more of these to do on my own. Thank you.

    Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always 4 times its height. How high is the pile to the nearest hundredth of a foot when it contains 700ft3 of grain?

    Height of the pile =?
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  2. #2
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    Re: Need to find the height of something based on certain information.

    Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always 4 times its height. How high is the pile to the nearest hundredth of a foot when it contains 700ft3 of grain?

    Height of the pile =?
    V = \frac{\pi}{3} r^2 h

    you are given d = 4h \implies 2r = 4h \implies r = 2h

    substitute 2h for r and 700 for V in the volume equation, then solve for h

    btw ... this is not a calculus problem.
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