Explanation:
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
Density of glycerin is 5/ 4 times of water density.
Density of sphere is 1/2 times of water density.
Density is defined as ratio of mass to volume , that is density is the amount of mass per unit of volume.
Since, plastic sphere floats in water with 50% of its volume submerged.
So, Density of sphere = [tex]\frac{1}{2} *water density[/tex]
Since, same sphere floats in glycerin with 40% of its volume submerged.
So, Density of sphere = [tex]\frac{40}{100}*Glycerin density=\frac{2}{5}*glycerindensity[/tex]
Density of Glycerin = 5/2 of sphere density
Density of glycerin = [tex]\frac{5}{2}*\frac{1}{2}*waterdensity[/tex]
Density of glycerin = [tex]\frac{5}{4} *waterdensity[/tex]
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