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Math Help - optimization - cone inscribed in a sphere

  1. #1
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    optimization - cone inscribed in a sphere

    A right circular cone is inscribe in a sphere of radius 15cm. Find the dimensions of the cone that has the maximum volume.

    -----

    Are my equations correct? I can't seem the get the right answers.

    h= height of the cone
    r= radius of the cone
    R=radius of the sphere







    ?
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  2. #2
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    Quote Originally Posted by shawli View Post
    A right circular cone is inscribe in a sphere of radius 15cm. Find the dimensions of the cone that has the maximum volume.

    -----

    Are my equations correct? I can't seem the get the right answers.

    h= height of the cone
    r= radius of the cone
    R=radius of the sphere







    ?
    did you make a sketch on a set of axes?

    h = R+y

    r = x

    V = \frac{\pi}{3} x^2 (R+y)

    V = \frac{\pi}{3} x^2(R +\sqrt{R^2-x^2})

    find \frac{dV}{dx} and maximize
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  3. #3
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    Re: optimization - cone inscribed in a sphere

    A right circular cone is inscribed in a sphere of radius 15cm. find the dimensions of the cone that has the maximum volume. Please Help.
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  4. #4
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    Re: optimization - cone inscribed in a sphere

    Please do not "hijack" someone else's thread to ask a new question. Start your own thread.
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  5. #5
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    Re: optimization - cone inscribed in a sphere

    At least it was the exact same question
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