Question

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

Answer 1

Answer:

Thickness of Wire = 0.06 cm

Step-by-step explanation:

A copper rod of diameter 1 cm. and length 8 cm

Volume of copper road = π R² L

R = Radius = Diameter/2 = 1/2  cm

L = 8 cm

Volume of copper Road = π (1/2)² * 8

= 2π  cm³

Looks like wire is drawn in rectangular shape

With thick ness = T cm

& Length = 18 m = 18 * 100 = 1800 cm

Volume =  L * T * T

= 1800 * T²

1800 * T²  = 2π

=> T = 0.06 cm

Thickness of Wire = 0.06 cm

Answer 2

Answer:

Thickness of Wire = 0.06 cm

Step-by-step explanation:

In this question,

We have been given that

A copper rod of diameter 1 cm. and length 8 cm

We need to find the thickness of the wire

Volume of copper road is given by = π R² L

Where R is the radius and L is the length of the wire

R = Radius = $\frac{Diameter}{2}\ =\ \frac{1}{2}$  cm

L = 8 cm

Volume of copper Road = $\pi\times (\frac{1}{2})^{2}\times 8$

On solving we get,

= 2π  cm³

It looks like wire is drawn in rectangular shape

With thickness = T cm

& Length = 18 m = 18 × 100 = 1800 cm

Volume =  L × T × T

= 1800 × T²

Now, Volume of wire in rectangle shape will be equal to volume of the wire  

1800 × T²  = 2π

=> T = 0.06 cm

Thickness of Wire = 0.06 cm