22 cubic dm of brass is to be drawn into a cylindrical

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

Please scroll down to see the correct answer and solution guide.

Right Answer is:

SOLUTION

Volume of brass = 2.2 cu.dm
=2.2×10×10×10=2200cm2
Diameter of wire = 0.25cm
Radius(r) = 0.252=0.125cm
Let h be the length of wire, then 
Volume=πr2h
πr2h=2200
227×(0.125)2×h=2200h=2200×722×0.125×0.125cm
=2200×7×1000×100022×125×125cm
44800cm=44800100m=448m
Length of wire = 448m