According to Archimedes principle, the mass of a floating object equals the mass

Question

According to Archimedes principle, the mass of a floating object equals the mass of the fluid displaced by the object. A 150 lb. swimmer is floating in a nearby pool; 95% of her body

According to Archimedes principle, the mass of a floating object equals the mass of the fluid displaced by the object. A 150 lb. swimmer is floating in a nearby pool; 95% of her body's volume is in the water while 5% of her body's volume is above water. Determine the density of the swimmers body. The density of water is 0.036lb/in^3.

Explanation / Answer

Mass of water displaced = .95*V*.036 = 150

V = 4385.96 in^3

density = 150/V = .0341 lb/in^3

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