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.

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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