Q. 194.0( 2 Votes )

The diameter of a metallic sphere is 6 cm. The sphere is melted and drawn into a wire of uniform cross-section. If the length of the wire is 36 m, find its radius.

Answer :

Given: diameter of metallic sphere = 6 cm

Length of the wire = 36 m

To find: The radius of the wire.

Formula Used:

Volume of the cylinder = πr2h

Volume of sphere =


Radius of sphere = = 3 cm

Volume of sphere =

= 36π cm3

Let the radius of cross-section of wire be “r” cm.

Length of wire = 36 m = 3600 cm

Volume of wire = (π× r2× 3600) cm2

As metallic sphere is converted into the cylindrical shaped wire.

The volume of the wire = volume of the sphere

π× r2× 3600 = 36π

r = 0.1 cm

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