Question

A cubic cm of gold is drawn into a wire 0.1 mm in diameter, find the length of the wire.

Answer 1

Answer:

The Length of the wire is 127.27 m.

Step-by-step explanation:

SOLUTION :  

Given :  

Diameter of wire = 0.1 mm  

Radius of wire = 0.1/2 = 0.05 mm

Volume of gold = 1 cm³

[1cm³ = 1000 mm]

Volume of gold = 1000 mm

Let h be the length of the wire.

Volume of wire = Volume of  gold

πr²h = 1000mm

22/7 × 0.05 × 0.05 × h = 1000

0.055h = 7 × 1000

h = 7000/0.055

h = 127272 mm

h = 127272/1000 = 127.27 m  

[1 mm = 1/1000 m]

Hence, the Length of the wire is 127.27 m.

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