This question is incomplete, the complete question is;
Styrofoam has a density of 32kg/m³.
What is the maximum mass that can hang without sinking from a 50-cm diameter Styrofoam sphere in water
Answer: the required maximum mass is 63.3459 kg
Explanation:
Given that;
diameter d = 50 cm = 0.5 m
radius r = 0.5 / 2 = 0.25 m
Styrofoam density = 32kg/m³
Volume of sphere V = 4/3 πr³.
we substitute
V = 4/3 π(0.25)³
V = 0.06544 m³
Mass of sphere M = Volume × Density
we substitute
Mass of sphere M = 0.06544 m³ × 32kg/m³
Mass of Sphere M = 2.09408 kg
Mass of the water it displace will be;
volume × density
we know that density of water = 1000 kg/m³
so
Mass of the water it displace = 0.06544 m³ × 1000kg/m³
= 65.44 kg
Now the difference between mass of water and mass of the Styrofoam will be the amount of mass that the sphere can support
so
65.44 kg - 2.09408 kg = 63.3459 kg
Therefore, the required maximum mass is 63.3459 kg
