Question

2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.25 cm in diameter. Find the length of the wire.

Answer 1

Diameter of the cylindrical wire = 0.25 cm
Radius of the cylindrical wire = 0.125 cm
Volume of the brass = 2.2 dm³ = 2200 cm³

Volume of the brass = Volume of the cylindrical wire
$\mathrm{Length}\mathrm{of}\mathrm{wire}=\frac{2200{\mathrm{cm}}^3}{{\displaystyle \frac{22}{7}}\times {\left(0.125\mathrm{cm}\right)}^2}=44800\mathrm{cm}=448\mathrm{m}$
Thus, length of the wire is 448 m.