Question

a solid cube of metal is a four sides melted 2.2 cm is melted to form of cylindrical wire of radius 1 cm find the length of wire so obtained

Answer 1

cube volume 2.2×2.2×2.2=10.468
cylinder volume = cube volume pie× r2× h = 10.468
22/7 ×1×1×h = 10.468
h =10.468×7/22
h =3.388

Answer 2

First, Volume of Cube=Volume of wire 

so V(Cube)=s³ 
s=2.2=22/10 

V=(22/10)³ 
=22x22x22/1000 


Volume of wire also be= 22x22x22/1000 

volume of cylinder=πr²h 
radius=1mm;h=? 
As, 1cm=10mm; so, 1mm=1/10cm 

22x22x22/1000=22/7 x (1/10)² x h 

h=22x22x22x100x7÷1000x22x1 
=3288÷10 
=32.88cm