Question

A spherical ball of diameter 7cm is melted and drawn into a wire of diameter 3.5 mm.Find the length of wire.

Answer 1

Volume of sphere=volume of cyclider

Answer 2

Answer:

18.66 m

Step-by-step explanation:

Diameter of sphere = 7 cm

∴Radius = 7/2 = 3.5 cm

Diameter of wire = 3.5 mm

or radius = 3.5/2 = 1.75 mm

which is also 1.75/10 cm

Let h be the length of the wire

Volume of sphere = volume of cylindrical wire

or 4/3 π r₁³ =  π r₂² h

or 4/3 (3.5)³ = (1.75/10)² h

or h = (4 x 400 x 3.5)/3 = 1866.66 cm

or h = 18.66 m

Thus length of wire is 18.66 m

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