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23 May, 17:43

A plastic sphere floats in water with 50.0% of its volume submerged. This same sphere floats in glycerin with 40.0% of its volume submerged. Determine the densities of:a. The glycerin b. The sphere.

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  1. 23 May, 19:10
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    weight of water displaced=weight of sphere,

    Since, plastic sphere floats in water with 50.0% of its volume submerged

    so, water=2 sphere,

    so sphere's density = 1/2 of water's density

    Now, weight of glycerin displaced=weight of sphere,

    Also given This same sphere floats in glycerin with 40.0% of its volume submerged.

    so glycerin = 2.5 sphere,

    so sphere's density =.4 of glycerin's = 1/2 of water's.

    So glycerin = 1.25 water
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