Question

❤✌ ANSWER✌❤

A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 cm of uniform thickness find the thickness of the wire​

Answer 1

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question ....
❤✌ ANSWER✌❤

A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 cm of uniform thickness find the thickness of the wire​.





answer.....
Given diameter of the copper rod = 1 cm

So, radius(r) of the copper rod = 1/2 cm

Let R is the radius of the cross section(circular) of the wire.

Now, according to the question,

      πR2 *(18*100) = π(1/2)2 *8

=> R2 *(18*100) = (1/2)2 *8

=> R2 *(18*100) = 8/4

=> R2 *(18*100) = 2

=> R2 = 2/(18*100)

=> R2 = 1/(9*100)

=> R = √{1/(9*100)}

=> R = 1/(3*10)

=> R = 1/30

Now, thickness of the wire = 2r = 2 * 1/30 = 2/30 = 1/15 = 0.067 cm


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Answer 2

Answer:

Step-by-step explanation:

Both copper rod and wire are in the shape of cylinder

diameter of rod = 1 cm

Radius r1 of rod = 1/2 cm

height h1 of rod = 8 cm

height h2 of wire = 18 cm

Let the Radius of wire be r2

Equating the volumes of two

πr1^2h1 = πr2^2h2

π gets cancelled

(1/2)^2 × 8 = r2^2 × 18

2 = 18 r2^2

r2^2 = 2/18

r2 = (√2/√18)

r2 = √2/3√2) = 1/3 cm

Hence thickness of wire = 1/3 cm