Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3

The mass of the steel ball is 4,235.9 gr

Step-by-step explanation:

Density

The density ρ of a substance is a measure of its mass per unit volume:

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

Calculating:

The mass is:

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

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step-by-step explanation: