Given:
44 cu. cm of wire is drawn into a wire of diameter 2 mm.
To find:
The length of the wire.
Solution:
We know that,
1 cm = 10 mm
1 cu. cm = 1000 cu. mm
We have, a wire of cylindrical shape.
Volume of the wire = 44 cu. cm
= 44000 cu. mm
Radius of the wire = 2 mm
Volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height.
Putting V=44000, [tex]\pi=\dfrac{22}{7}[/tex] and r=2, we get
[tex]44000=\dfrac{22}{7}\times 2^2\times h[/tex]
[tex]44000\times \dfrac{7}{22}=4h[/tex]
[tex]14000=4h[/tex]
Divide both sides by 4.
[tex]\dfrac{14000}{4}=h[/tex]
[tex]3500=h[/tex]
Therefore, the length of the wire is 3500 mm or 350 cm.
