Reference
Rietz, H. L. (1931). Note on the distribution of the standard deviation of sets of three variates drawn at random from a rectangular distribution,Biometrika,23, 424–426.
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Ali, M.M., Richards, W.A. On a conjecture concerning the common content of anN-cube and a diagonal cylinder. Ann Inst Stat Math 27, 281–287 (1975). https://doi.org/10.1007/BF02504647
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DOI: https://doi.org/10.1007/BF02504647