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SOLUTION:
Given that,
Mass of the metal, m = 64.5 g
Density of the metal, D = 3.78 g/cm3
Therefore, Total volume of the metal is given by:
According to Archimedes principle, Buoyant force on the metal will be equal to the weight of the fluid displaced by the object.
We have, Density of water, d = 0.001 kg/cm3
Therefore, Mass of fluid displaced, m = V x d = 17.06 cm3 x 0.001 kg/cm3 = 0.01706 kg
Therefore, Buoyant force is given by:
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