$($a$)$ What is the approximate ductility $(\%$EL$)$ of a brass that has a yield strength of $345$MPa$(50,000)?$

$($b$)$ What is the approximate Brinell hardness of a $1040$ steel having a yield strength of $620$MPa$(90,000)?$

A cylindrical rod of $1040$ steel originally $11\mathrm{.}4$ mm $(0\mathrm{.}45$ in $.)$ in diameter is to be cold worked by drawing; the

circular cross section will be maintained during deformation. A cold$-$worked tensile strength in excess of $825$

MPa$(120,000)$ and a ductility of at least $12\%$EL are desired. Furthermore, the final diameter must be $8\mathrm{.}9$ mm

$(0\mathrm{.}35$ in$.).$ Explain how this may be accomplished.