Q. 174.2( 6 Votes )

The diameter of a sphere is 42 cm. It is melted and drawn into a cylindrical wire of diameter 2.8 cm. Find the length of wire.

Answer :

Given,


Diameter of sphere = 42 cm


Radius of sphere = 21 cm


Volume of sphere = πr3 = × π × 21 × 21 × 21 cm3


Diameter of cylindrical wire = 2.8 cm


Radius of cylindrical wire = 1.4 cm


Volume of cylindrical wire = πr2h = π × 1.4 × 1.4 × h cm3 = 1.96πh cm3


Volume of cylindrical wire = volume of sphere


1.96πh = × π × 21 × 21 × 21


h = cm


h = 6300


h m = 63 m


Hence, length of the wire = 63 m


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