math10030
22.10.2020 •
Mathematics
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
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Ответ:
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
Ответ:
b
Step-by-step explanation: