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A Piece of Aluminum with a Mass of 1 2700 kg/m32700 \mathrm {~kg} / \mathrm { m } ^ { 3 }

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A piece of aluminum with a mass of 1.0 kg and density of 2700 kg/m32700 \mathrm {~kg} / \mathrm { m } ^ { 3 }
is suspended from a light cord and then completely immersed in a container of water having density 1000 kg/m3\mathrm { kg } / \mathrm { m } ^ { 3 }
(a) Determine the volume of the piece of aluminum.
(b) Determine the tension in the cord when the aluminum is immersed in the container of water.

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