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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

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Question

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

Sum
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Solution

Density of copper = Weight/Volume = 8.4 gram/1 cm3 = 8.4 gram/cm3
Volume = Weight/Density = 13.2 kg x 1000 gram/kg/8.4 gram/cm3 = 1571.43 cm3

`"L"="V"/(pi r^2)=(1571.43"cm"^3)/(22/7xx(0.2"cm")^2= 12500.01`cm = 125 m

Thus, length of 13.2 kg of copper is 125 m.

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Chapter 22: Mensuration - III (Surface Area and Volume of a Right Circular Cylinder) - Exercise 22.2 [Page 26]

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RD Sharma Mathematics [English] Class 8
Chapter 22 Mensuration - III (Surface Area and Volume of a Right Circular Cylinder)
Exercise 22.2 | Q 27 | Page 26
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