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.
Given: diameter of metallic sphere = 6 cm
Length of the wire = 36 m
To find: The radius of the wire.
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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