Question

styrofoam has a density of 300kg/m3. for general problem-solving tips and strategies for this topic, you may want to view a video tutor solution of floating bowling ball. part a what is the maximum mass that can hang without sinking from a 90.0-cm-diameter styrofoam sphere in water? assume the volume of the mass is negligible compared to that of the sphere. express your answer with the appropriate units.

Answer 1

The maximum mass that can hang without sinking from a 90.0-cm-diameter styrofoam sphere in water is 85.8 kg.

What is the volume of the volume of the styrofoam?

The volume of the styrofoam is calculated as follows;

V = πr³

where;

• r is the radius of the styrofoam

V =  πr³

V = π(0.45)³

V = 0.286 m³

The maximum mass that can hang without sinking from a 90.0-cm-diameter styrofoam sphere in water is calculated as follows;

mass = density x volume

mass = 300 kg/m³  x  0.286 m³

mass = 85.8 kg

Thus, the maximum mass depends on density and volume of the styrofoam.

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