Answer:
339,292 cm³
Step-by-step explanation:
Assume that each ball bearing is a perfect sphere and that no material is wasted during the production.
The volume of a sphere is:
[tex]V=\frac{4}{3}\pi r^3[/tex]
If each ball bearing has a diameter of 6 cm (radius of 3 cm), the individual volume is:
[tex]V=\frac{4}{3}\pi* 3^3\\V=113.097\ cm^3[/tex]
For 3,000 ball bearings:
[tex]V_{3,000}=3,000*V\\V_{3,000}=3,000*113.097\\V_{3,000}=339,292\ cm^3[/tex]
339,292 cm³ of metal are needed to make 3,000 ball bearings.
