A thick layer of oil of mass density (800 mathrm{~kg} / mathrm{m}^{3}) floats atop (but does not
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A thick layer of oil of mass density \(800 \mathrm{~kg} / \mathrm{m}^{3}\) floats atop (but does not mix with) water in a deep container. You gently place a sphere of uniform mass density in the container so that it floats with \(65.0 \%\) of its volume in the water and the remaining \(35.0 \%\) in the oil. What is the mass density of the material of which the sphere is made?
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