# Physics 212

Styrofoam has a density of 300kg/m3. What is the maximum mass that can hang without sinking from a 40.0cm -diameter Styrofoam sphere in water?

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1. V = (4/3) pi r^3
V = (4/3) pi (.2)^3 = .0335 meters^3

mass of ball = 300*.0338 = 10 kg

mass of water displaced =1000*.0335 = 33.5 kg

so Archimedes can hold up 33.5-10 = 23.5 kg

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posted by Damon

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