Question

A copper rod of diameter 6cm and length
8m is drawn into a wire of length 20cm.
Find of the thickness of the wire.​

Answer 1

Answer: Diameter of copper wire =1 cm

Radius  cm

Height of copper rod =Length of copper rod =8 cm

Volume of rod

Let the radius of wire be ‘r’ cm

Height of the wire =18 m =0.18 cm

Volume of cylinder wire = Volume of cylindrical rod

⇒ r2

⇒ r  cm

⇒ r = 1/3 mm

∴ Diameter of cross section = (1/3) × 2 mm

= 0.67 mm

Step-by-step explanation:

Answer 2

Answer:

the diameter of the wire is 1/15 cm i.e. 0.67 mm which is the thickness of the wire

Step-by-step explanation:

Given,

Diameter of the copper wire = 1 cm

So, Radius of copper wire = 1/2 cm = 0.5 cm

Length of the copper rod = 8

WE KNOW THAT

Volume of the cylinder = r2h = π × 0.52 × 8

Length of wire = 18cm = 1800cm

Volume of the wire = π r2h = π r2 × 1800

On equating both the equations, we have

π × 0.52 × 8 = π r2 × 1800

r2 = 2 /1800 = 1/900

r = 1/30

Therefore, the diameter of the wire is 1/15 cm i.e. 0.67 mm which is the thickness of the wire.

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