A barrel that is 0.250 m in radius and 1.00 m in height is filled with Texas crude oil (density of 875 kg/m³) and dropped into a lake (density of 1000 kg/m³). Neglecting the mass of the container, the percentage of the barrel that will be submerged is A) 13.5%. B) 50.0%. C) 87.5%. D) 100%.

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Quizplus · Accepted Answer

The percentage of the barrel that will be submerged can be found using the principle of buoyancy, which states that the volume of fluid displaced by the submerged part of the object will be equal to the volume of the object submerged. The weight of the displaced fluid equals the weight of the object (or part of it) submerged. Given the densities, the percentage submerged is the ratio of the density of the oil to the density of water (875 kg/m^3 / 1000 kg/m^3) = 0.875 or 87.5%.

A Barrel That Is 0