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Math Help - spherical cap

  1. #1
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    spherical cap

    the spherical cap problem presented earlier is as follows. find the volume of a spherical cap with the radius of the rim of the cap being 5m and the height of the cap being 2m.

    the previous integral would not work because i don't know the radius of the sphere. Only the radius of the spherical cap.

    If anyone can tell me how to come up with an appropriate integral using only the above information it would be appreciated. thanks
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  2. #2
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    let R = radius of the sphere

    (R-2)^2 + 5^2 = R^2

    R = \frac{\sqrt{29}}{2}
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