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A Cubic Cm of Gold is Drawn into a Wire 0.1 Mm in Diameter, Find the Length of the Wire. - Mathematics

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प्रश्न

A cubic cm of gold is drawn into a wire 0.1 mm in diameter, find the length of the wire.

संक्षेप में उत्तर

उत्तर

Let x be the length of wire.

Clearly, the volume of gold = volume of wire.

{Volume of gold = 1 cm3 = 1000 mm}

`1000 = pi ((0.1)/2)^2 xx x`

`22/7 xx 1/400 xx x = 1000`

`x = (1000 xx 400 xx 7)/22`

`= (1400 xx 1000)/11`

`= 127300  mm`

` x = 127.3m`

Hence, the length of wire is 127.3 m.

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अध्याय 14: Surface Areas and Volumes - Exercise 14.3 [पृष्ठ ८१]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 14 Surface Areas and Volumes
Exercise 14.3 | Q 9 | पृष्ठ ८१

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