Calculate the mass of $4000$ identical steel ball bearings, each of diameter $0.8$ cm, if steel

Question

Calculate the mass of $4000$ identical steel ball bearings, each of diameter $0.8$ cm, if steel has density $7.85\text{ g/cm}^3$. Use $\pi=3.142$ and give the mass to the nearest gram. $d=0.8\text{ cm}$ Central section

Accepted Answer

Each radius is $0.8\div2=0.4\text{ cm}$. Total volume $=4000\left(\dfrac43\right)(3.142)(0.4)^3=1072.4693\ldots\text{ cm}^3$. Mass $=1072.4693\ldots(7.85)=8418.8842\ldots\text{ g}$. The mass is $8419\text{ g}$, to the nearest gram.

Sphere volume and mass

Sphere volume and mass

Solution:

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