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ICSE Class 10 Answered

A wire of diameter 2mm is to be wound around a cylinder of 70mm diameter and 20cm height. If the wire is to be wound in such a manner that there is no gap between consecutive turns of the wire,what length of wire will be required for covering the entire cylinder?
question image
Asked by rajumuppidi828 | 29 Dec, 2021, 14:44: PM
answered-by-expert Expert Answer
Height of the cylinder = 20 cm = 200 mm
No. space of space rounds space required space equals space fraction numerator Height space of space the space cylinder over denominator Diameter space of space wire end fraction equals 200 over 2 equals 100 Curved space surface space area space of space the space cylinder space equals space 2 πrh equals 2 cross times 22 over 7 cross times 35 cross times 200 space equals space 44 cross times 1000 space equals space 44000 space mm squared Length space of space wire space required space for space 1 space round space equals space Circumference space of space the space base space of space the space cylinder space equals space 2 πr equals 2 cross times 22 over 7 cross times 35 equals 2 cross times 22 cross times 5 equals 220 space mm Length space of space required space for space covering space the space entire space cylinder space equals space 100 cross times 220 space equals space 22000 space mm space equals space 22 space straight m
Answered by Renu Varma | 03 Jan, 2022, 13:03: PM

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