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Math Help - Maximizing surface area

  1. #1
    Junior Member
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    Oct 2008
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    Maximizing surface area

    A cylindrical hole of radius x is bored through a sphere of radius R in such a way that the axis of the hole passes through the center of the sphere. Find the value of x that maximizes that complete surface area of the remaining solid. Hint: The area of a segment of height h on a sphere of radius R is 2(pi)Rh.

    Any help will be appreciated. Thanks.
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  2. #2
    Junior Member
    Joined
    Oct 2008
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    Any ideas? This prob. is driving me crazy.
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