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Math Help - Calculating the volume of a spherical cap.

  1. #1
    Mathematical
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    Calculating the volume of a spherical cap.

    I'm not sure this is in the right section, as it's not a school problem as such, but a problem given to me by a stuck friend. So forgive me if it's in the wrong area.

    Anyways:

    If you put a perfect sphere into a tub of water, it displaces 280,000 cubic centimetres of water. 72% of the surface area of the sphere is below the water. Calculate the total volume of the sphere.

    Appears simple at first, but it's not, and I have no idea where to go with the calculations. A solution would be much appreciated
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  2. #2
    Eater of Worlds
    galactus's Avatar
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    I believe this is a Lenny Conundrum Neopets problem.

    See here:

    NeoPets Riddles (Lenny Conundrums) and Answers Here
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