Question

A piece of ductile metal is in the form of a cylinder of diameter 1 cm and length 11cm.it is drawn out into a wire of diameter 1mm. What will be the length of the wire so obtained ? ​

Answer 1

diameter of wire = 1 cm

radius = 0.5

length = 11 cm

now, volume = 8.653 cm

the volume of both will be the same.

now, the diameter of new wire = 1mm = 0.1 cm

radius = 0.05

; new length = volume/Лr² = 1100.02 cm = 11m

Answer 2

Step-by-step explanation:

We have,

Diameter of metallic cylinder = 1 cm

Radius of metallic cylinder = d/2 = 1/2 = 0.5 cm Length of cylinder = 5 cm

Diameter of wire drawn from it = 1 mm = 0.1 cm Radius of wire = 0.5mm = 0.05cm

Let length of wire be ‘h’ cm

Length of wire drawn from metal = volume of metal/ volume of wire

= πr2h / πr2 = (½)2 × 5 / (0.05)2 = (5/4) / 0.0025 = 1.25/0.0025 = 500 cm = 5m

∴ Length of the wire is 5m.