A body floats with (1/3) of its volume outside water when submerged in water and (5/9) of its volume outside another liquid when submerged in another liquid. Determine density (in kg/m3) of the liquid.

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Physics

Statics

Question

A body floats with (1/3) of its volume outside water when submerged in water and (5/9) of its volume outside another liquid when submerged in another liquid. Determine density (in kg/m³) of the liquid.

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$(1 - \frac{1}{3}) {Vd}_{w} = (1 - \frac{5}{9}) {Vd}_{l}$

$Therefore, d_{l} = \frac{2}{3} \times \frac{9}{4} d_{w} = 1.5 \times 1000 = 1500 kg / m^{3}$ .

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