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Math Help - a cylinder full of water

  1. #1
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    a cylinder full of water

    A right cylinder is full of water with a height of 24 cm and radius
    of 6
    cm. It is placed into a right cylinder with a radius of 9 cm and
    drilled
    by the middle of its height. If we don't want the water to overflow
    what must be the height of the cylinder with the radius of 9 cm?
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: a cylinder full of water

    You want:

    \pi(9^2-6^2)h\ge\frac{1}{2}\pi\cdot6^2\cdot24

    Solve for h.
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    Re: a cylinder full of water

    Many Thanks.
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