Mathematics

Problem

A hollow cylindrical pipe is made of solid metal. Its external radius is

5\,\text{cm}

, internal radius

3\,\text{cm}

and length

20\,\text{cm}

. The pipe is melted and

8\%

of the metal is lost in the process. The remaining metal is cast into identical solid cubes, each of edge

2\,\text{cm}

. a. Find the number of cubes produced.