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CBSE Class 8 Answered

A metal pipe cylindrical in shape is of diameter 2 cm and length 10cm.it is melted and recast into a wire of diameter 2.5mm.find the length of the wire so obtained
Asked by ajayrath7 | 26 Dec, 2017, 08:19: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space straight r space be space the space radius space of space cylindrical space pipe space and space straight R space be space the space radius space of space the space wire. Let space straight h space be space the space height space of space the space cylindrical space pipe space and space straight H space be space the space height space of space the space wire. For space the space cylinder space pipe straight d equals 2 space cm rightwards double arrow straight r equals straight d over 2 equals 1 space cm straight h equals 10 space cm For space the space wire straight d equals 2.5 space mm rightwards double arrow straight R equals straight d over 2 equals 1.25 space mm space equals space fraction numerator 1.25 over denominator 10 end fraction space cm equals 0.125 space cm Volume space of space cylinder equals volume space of space wire πr squared straight h equals πR squared straight H 1 cross times 10 equals 0.125 cross times 0.125 straight H fraction numerator 10 over denominator 0.125 cross times 0.125 end fraction equals straight H straight H equals 640 space cm Length space of space the space wire space is space 640 space cm. end style
Answered by Sneha shidid | 27 Dec, 2017, 10:06: AM

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