Question

2.2 cubic cm of lead is to be drawn into a cylinder wire 0.50 in diameter. what is the length of the wire?

Answer 1

volume of lead=2.2cm^3.
Diameter of cylinder wire=0.50cm.
radius of wire =0.50/2= 0.25 cm.
Let length of wire=l.VOlume of wire=πr^2 l.


volume of wire=22/7×0.25×0.25l.
then :22/7 ×0.25×0.25×l=2.2
l=2.2×7×100×100)/22×25×25
=22×7×100×100)/22×10×25×25
=22×7×4×4)/22×10
=7×4×4)/10
=7×2×4)/5
56/5
=11.2cm.
Length of wire= 11.2cm.