Question

Styrofoam has a density of 32kg/m3.

What is the maximum mass that can hang without sinking from a 80-cm diameter Styrofoam sphere in water? Assume the volume of the mass is negligible compared to that of the sphere.

m=

Answer 1

Answer: 2673.32 kg

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Volume of sphere

Volume of sphere =4/3 pi r³ = 4/3*22/7*(.4)³=0.268190476 m³

mass of sphere = volume *density = 0.268190476 m³ * 32 kg/m³ = 8.582095238 Kg

mass of water displaced

m=volume*density= 0.268190476*1000 = 2681.90476 kg

so max weight hung from styrofoam will be difference of mass of water displaces to mass of styrofoam

i.e 2681.90476−8.582095238=2673.322664762 = 2673.32 kg

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