Question

44 cu. cm of wire is drawn into a wire of diameter 2 mm , the length of wire will be _____.​

Answer 1

Given:

44 cu. cm of wire is drawn into a wire of diameter 2 mm.

To find:

The length of the wire.

Solution:

We know that,

1 cm = 10 mm

1 cu. cm = 1000 cu. mm

We have, a wire of cylindrical shape.

Volume of the wire = 44 cu. cm

= 44000 cu. mm

Radius of the wire = 2 mm

Volume of a cylinder is:

`V=\pi r^2h`

Where, r is the radius and h is the height.

Putting V=44000,
`\pi=(22)/(7)` and r=2, we get

`44000=(22)/(7)* 2^2* h`

`44000* (7)/(22)=4h`

`14000=4h`

Divide both sides by 4.

`(14000)/(4)=h`

`3500=h`

Therefore, the length of the wire is 3500 mm or 350 cm.