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Math Help - Calculus Word Problem

  1. #1
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    Calculus Word Problem

    Find the angle of the sector that should be removed from a circular piece of canvas so that the cone formed with the remaining canvas has the largest volume.
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  2. #2
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    Have you derived the equation for the volume of the cone with some constant slantlength s (the radius of your circle), and some variable base b (the circumference of the remaining sector, a function of s and the removed angle t) ? Once derived, you can apply calculus to find its critical point(s) as function(s) of t.
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  3. #3
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    Almost

    There are two variables: The base b of the cone, and the height h of the cone. There must be a way to put b in terms of h. Also, I think the angle of the sector should be measured in radians.
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  4. #4
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    Quote Originally Posted by gann4927 View Post
    Find the angle of the sector that should be removed from a circular piece of canvas so that the cone formed with the remaining canvas has the largest volume.
    http://www.mathhelpforum.com/math-he...questions.html
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  5. #5
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    Solution Found!

    Thanks for the help! I was able to come up with a simple but elegant solution to this problem. Again, Thanks!
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