Question

styrofoam has a density of 150 kg/m3 . what is the maximum mass that can hang without sinking from a 50-cm-diameter styrofoam sphere in water? assume the volume of the mass is negligible compared to that of the sphere.

Answer 1

The correct answer is 9.45 kg.

The formula for calculating the density of an object is expressed as:

Density = mass / volume

Given :

Density = 150kg/m³

Volume of the sphere = negligible

r is the radius = 50/2 = 25cm = 0.25m

We can find the volume of the Styrofoam sphere by

=(4/3)πr³

Volume (V) = (4/3)*π*(0.25)³

Volume = 0.063 cm³

Now let us find the required mass:

Mass = density * volume                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            

Mass = 150 * 0.063

Mass = 9.45 kg

Therefore, the maximum mass that can hang without sinking from a 50.0 cm -diameter Styrofoam sphere in water is 9.45 kg.

To learn more about mass, refer: brainly.com/question/18386490

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