Question

A factory needs to produce ball bearings with a diameter of 6 cm. How many cubic centimeters of metal are needed to make 3000 ball bearings?​

Answer 1

339,292 cm³

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:

`V=(4)/(3)\pi r^3`

If each ball bearing has a diameter of 6 cm (radius of 3 cm), the individual volume is:

`V=(4)/(3)\pi* 3^3\\V=113.097\ cm^3`

For 3,000 ball bearings:

`V_(3,000)=3,000*V\\V_(3,000)=3,000*113.097\\V_(3,000)=339,292\ cm^3`

339,292 cm³ of metal are needed to make 3,000 ball bearings.