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A Piece of Ductile Metal is in the Form of a Cylinder of Diameter 1 Cm and Length 5 Cm. It is Drawnout into a Wire of Diameter 1 Mm. What Will Be the Length of the Wire So Formed? - Mathematics

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प्रश्न

A piece of ductile metal is in the form of a cylinder of diameter 1 cm and length 5 cm. It is drawnout into a wire of diameter 1 mm. What will be the length of the wire so formed?

योग

उत्तर

Diameter of the ductile metal = 1 cm
Radius of the ductile metal = 0.5 cm
Volume of the ductile metal = πr2(length) = π(0.5 cm)2(5 cm) = 1.25π cm3
Ductile metal is drawn into a wire of diameter 1 mm.
Radius of the wire = 0.5 mm = 0.05 cm

\[\text{ Length of wire }= \frac{1 . 25\pi {cm}^3}{\pi \left( 0 . 05 cm \right)^2} = 500 cm = 5 m\]

Thus, the length of wire is 5 m.

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अध्याय 22: Mensuration - III (Surface Area and Volume of a Right Circular Cylinder) - Exercise 22.2 [पृष्ठ २६]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 22 Mensuration - III (Surface Area and Volume of a Right Circular Cylinder)
Exercise 22.2 | Q 26 | पृष्ठ २६

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