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Find the Z-Coordinate of the Centroid of the Upper Hemisphere z=25x2y2z = \sqrt { 25 - x ^ { 2 } - y ^ { 2 } }

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Find the z-coordinate of the centroid of the upper hemisphere with uniform density whose equation is given by z=25x2y2z = \sqrt { 25 - x ^ { 2 } - y ^ { 2 } } .

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