Question

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

Answer 1

Answer:

Radius of wire is 1/3 cm

So, thickness = 2/3 cm

Step-by-step explanation:

Rad. Of rod = 1/2cm

Vol. of rod = volume of wire

22/7 ×1/2 ×1/2 ×8 = 22/7 × r^2 × 18

2 = r^2 × 18

r^2 = 2/18 = 1/9

r = 1/3 cm

Thickness = diameter = 2/3cm

Answer 2

↦Solution : -

A volume of the rod = π × (1/2)² × 8cm³

= 2πcm³

Now ,

The length of new wire of same volume = 18m

= 1800cm

If r is the radius in cm of thickness of the wire , its volume will be = π × r² × 1800cm³

So ,

π × r² × 1800 = 2π

r² = 1/900

r = 1/30

Therefore , the Diameter of the Thickness of the Wire is 1/15cm = 0.67mm (approx) ..