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Math Help - Optimization

  1. #1
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    Montgomery
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    Optimization

    A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 3.5. What are the dimensions of such a cylinder which has maximum volume?
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  2. #2
    MHF Contributor
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    Re: Optimization

    Express the radius of the cylinder as a function of its height. Thus express the cylinder's volume as a function of its height. Then find the maximum of the volume by differentiating.
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