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

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Mathematics Ladonna 4 years 2021-08-28T00:10:33+00:00 2021-08-28T00:10:33+00:00 1 Answers 7 views 0

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kimchi2 · Answer 1 · 2021-08-28T00:11:48+00:00

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, $\pi=\dfrac{22}{7}$ and r=2, we get

$44000=\dfrac{22}{7}\times 2^2\times h$

$44000\times \dfrac{7}{22}=4h$

$14000=4h$

Divide both sides by 4.

$\dfrac{14000}{4}=h$

$3500=h$

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