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Math Help - Help differential problem (application)

  1. #1
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    Help differential problem (application)

    the maximum volume enclosed by circular cylinder inscribed in a sphere equal to n times the volume of the sphere, find the value of n
    how to solve this??


    i know using the pyth theorem , the square of radius of cylinder + 1/2 square of the height of the cylinder is equal to square of the sphere's radius
    i also list two volume equations

    but how to do the next step???

    because there are two variable, it seems cannot be reduced to only 1 variables

    HELP!!!
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  2. #2
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    Re: Help differential problem (application)

    Quote Originally Posted by oponion View Post
    the maximum volume enclosed by circular cylinder inscribed in a sphere equal to n times the volume of the sphere, find the value of n

    I don't know what you mean here. First there should be a verb in the first clause. If you meant the volume of the cylinder is "equal to n times the volume of the sphere", that's impossible. The volume of a cylinder inscribed in a sphere must be less than then volume of the sphere, not "n times the volume".

    how to solve this??


    i know using the pyth theorem , the square of radius of cylinder + 1/2 square of the height of the cylinder is equal to square of the sphere's radius
    i also list two volume equations

    but how to do the next step???

    because there are two variable, it seems cannot be reduced to only 1 variables

    HELP!!!
    Follow Math Help Forum on Facebook and Google+

  3. #3
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    Re: Help differential problem (application)

    Quote Originally Posted by HallsofIvy View Post
    I don't know what you mean here. First there should be a verb in the first clause. If you meant the volume of the cylinder is "equal to n times the volume of the sphere", that's impossible. The volume of a cylinder inscribed in a sphere must be less than then volume of the sphere, not "n times the volume".
    Couldn't you have n be a fraction?
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  4. #4
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    Re: Help differential problem (application)

    sorry, i missed some verbs

    the problem is the maximum volume enclosed by a circular cylinder inscribed in a sphere equals n times the volume of the sphere. find k

    yes...n can be any real number
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  5. #5
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    Re: Help differential problem (application)

    n can be fraction
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