Q. 55.0( 3 Votes )
A metallic sphere of radius 15 cm is melted and a wire of diameter 1 cm is drawn from it. Find the length of the wire.
Answer :
Given.
Cylindrical wire of diameter 1 cm
Metallic spherical of radius 15 cm
Formula used/Theory.
Volume of cylinder = πr2h
Volume of sphere = 
πr3
Let the length of wire be x
Volume of cylinder = πr2h
= π × (
cm) 2 × x
= 
π cm2
Volume of sphere = 
πr3
= 
π (15 cm) 3
= 4500π cm3
**Note we will not put value of π as it will be divided in next step
As we melt the metallic sphere in cylindrical wire the volume of both will be equal
∴ equating both we will get the length of wire
Volume of wire = Volume of metallic sphere
π cm2 = 4500π cm3
x = 4500 × 4 
x = 18000 cm = 180 m
∴ length of wire is 180 m
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