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 = πr^{3} = × π × 21 × 21 × 21 cm^{3}

Diameter of cylindrical wire = 2.8 cm

Radius of cylindrical wire = 1.4 cm

Volume of cylindrical wire = πr^{2}h = π × 1.4 × 1.4 × h cm^{3} = 1.96πh cm^{3}

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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