Sphere volume and mass
Sphere volume and mass
Secondary 2
3 marks
TGM Original Questions
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.[3]
Solution:
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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.
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