Given area three cylindrical bukets X...

Given area three cylindrical bukets X,Y.Z whose circular bases are of radii 1,2,3 units ,respectively . Intially Water is filled in these bukets upto the same water transferred from Z to X so that they both have the same volume of water Some water is then transferred between X and y so that they both have same volume of water if `h_(z)` denote the heights of water at this stage in the bukets y, z, respectively , then the ratio `(h_(y))/(h_(z))` equals -

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