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Math Help - Volume problem

  1. #1
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    Volume problem

    Hi all, I am having a little difficulty with this problem:

    Show that the circular cylinder of greatest volume that can be inscribed in a right circular cone has volume that is 4/9 the volume of the cone.

    Thanks in advance
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  2. #2
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    Quote Originally Posted by Wintaker99 View Post
    Hi all, I am having a little difficulty with this problem:

    Show that the circular cylinder of greatest volume that can be inscribed in a right circular cone has volume that is 4/9 the volume of the cone.

    Thanks in advance
    Hello,

    I'll send you 2 posts: the first containing a sketch of the cylinder in a cone and the second containing the calculations. You need both to understand what I've done:
    Attached Thumbnails Attached Thumbnails Volume problem-zylind_im_kegl.gif  
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  3. #3
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    Hi,

    it's me again: Here are the calculations:
    Attached Thumbnails Attached Thumbnails Volume problem-maxzyl_in_kegl.gif  
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