Question

A piece of easily molded metal is in the form of a cylinder of diameter 2 cm and height 22cm. it is drawn out into a wire of diameter 2 mm. find the length of wire.

Answer 1

Answer:

Hence, length of the wire is 22 m

Step-by-step explanation:

Hi,

Given diameter of cylinder = 2 cm

Height of the cylinder = 22 cm

Volume of the cylinder is given πd²h/4

=> Volume of cylinder = π(2)²22/4 = 22π cm³.

But Cylinder is modeled into a wire.

Volume of wire is given by πd²L/4 where d is diameter of wire and L is

the length of wire

Hence πd²L/4 = 22π cm³

Given d = 2mm = 0.2 cm

so 0.04 L/4 = 22

⇒ L = 2200 cm

or L = 22 m

Hence, length of the wire is 22 m.

Hope, it helps !