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A plastic sphere floats in water with exactly half of its volume submerged. When this same sphere is placed in glycerin only 40% of its

A plastic sphere floats in water with exactly half of its volume submerged. When this same sphere is placed in glycerin only 40% of its volume is submerged. Assume the density of water to be 1.00 x 10^3 kg/m^3.

a. Determine the density of the glycerin. Explain your work.

b. Find the density of the sphere. Explain your conclusion.

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