Question

The diameter of a sphere is 42cm.It is melted and drawn in to a cylindrical wire 0.2cm diameter.Find the length of the wire

Answer 1

diameter of sphere =42
so radius of sphere =42/2 = 21
now ;
diameter of cylinder = 0.2
radius of cylinder =0.2/2 = 0.1
we know that;
volume of cylinder = volume of sphere
πr^h= 4/3πr*r*r
(π is cancel out )
0.1*0.1*h = 4/3 * 21 *21*21
0.01*h = 12348
h = 12348/0.01
h = 1234800

therefore; length of wire is 1234800.


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