Find the Length of 13.2 Kg of Copper Wire of Diameter 4 Mm, When 1 Cubic Cm of Copper Weighs 8.4 Gm. - Mathematics

Sum

Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.

Solution

Given data is as follows:

Weight of copper wire = 13.2 kg

Diameter = 4 mm

Density = 8.4 gm/cm3

We have to find the length of the copper wire.

Given is the diameter of the wire which is 4 mm. Therefore,

r = 2 mm

Let us convert r  from millimeter to centimeter, since density is in terms of gm/cm3. Therefore,

r = 2/10 cm

Also, weight of the copper wire is given in kilograms. Let us convert into grams since density is in terms of gm/cm3 . Therefore, we have,

Weight of copper wire = 13.2 × 1000 gm

= 13200 gm

We know that,

Volume ×  Density = Weight

Therefore,

pir^2h xx 8.4 = 13.2

22/7 xx 2/10 xx 2/10 xx h xx 8.4 = 13200

h   = 12500 cm

h   = 125m

Hence, the length of the copper wire is 125 meters.

Concept: Surface Area of Cylinder
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.2 | Q 25 | Page 22

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