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

Let r cm be the radius of the wire and h cm be the length of the wire.
Volume of brass = Volume of the wire
We know that the volume of brass = 2.2 dm³= 2200 cm³ 
Volume of the wire=  πr²h = (0.125 cm)² (h)

\[h = \frac{2200 {cm}^3}{\pi \left( 0 . 125 cm \right)^2} = 44800 cm = 448 m\]

Thus, length of the wire is 448 m.