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Styrofoam has a density of 300 kg/m^3. What is the maximum mass that can hang without sinking from a 40-cm diameter styrofoam sphere in water? Assume the volume of the mass is neglible to that of the sphere.

I've tried using the formula: density = m/V... but got nowhere with it... please help.

2007-01-28 05:26:36 · 1 answers · asked by yaochiemchao 1 in Science & Mathematics Physics

1 answers

water has a density of one. that means one gram per cubic centimeter. The volume of a 40-cm diameter Styrofoam sphere is 2/3 pi r^3 so 134041 cubic centimeters. The total mass able to be supported is therefore 134 kilograms. The mass of the Styrofoam sphere is about 40.2 kilograms. The mass of the maximum payload would therefore be the difference between these two numbers or about 93.8 kilograms. Because the payload does displace some volume the actual maximum payload mass would be greater than this.

2007-01-28 05:43:54 · answer #1 · answered by anonimous 6 · 0 0

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