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CBSE Class 9 Answered

A copper wire of diameter 6mm evenly wrapped around on a cylinder of length 15cm and diamter 49cm to cover its whole surface. find the length and volume of the wire. if the specific gravity of copper is 9g per cu.cm, find the weight of the wire
Asked by bis0584 | 03 Feb, 2015, 01:56: PM
answered-by-expert Expert Answer
Diameter comma space straight d equals space 6 space mm equals 0.6 cm Radius space of space the space wire equals 0.3 space cm Length space of space cylinder comma space straight h equals 15 space cm Diameter space of space cylinder comma space straight d equals space 49 space cm Radius space of space cylinder comma space straight r equals space 49 over 2 cm Number space of space rotations space on space the space cylinder equals fraction numerator 15 over denominator 0.6 end fraction equals 25 Base space circumference space of space the space cylinder space equals 2 πr equals 2 cross times 22 over 7 cross times 49 over 2 equals space 154 space space cm Therefore comma space length space of space the space wire equals 154 cross times 25 equals 3850 space cm Volume space of space the space wire equals πr squared straight h equals 22 over 7 cross times 0.3 cross times 0.3 cross times 3850 equals 108.9 space cm cubed Weight space of space the space wire equals Volume cross times density space space equals 108.9 cross times 9 equals 980.1 space gm
Answered by Prasenjit Paul | 03 Feb, 2015, 04:19: PM
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