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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