Question

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

Answer 1

$1dm=10cm$

$1d{m}^3=1000c{m}^3$

Now $2200c{m}^3=\pi r^{2}l\left(Volumeofcylindricalwire\right)$

$\Rightarrow l=\frac{2200}{\pi r^2}=\frac{2200}{\pi (0.125{)}^2}$

Hence $l=44818$ $cm$ or $448$ metres (approx.)