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a steel wire , 3mm in diameter , is wound about a cylinder whose lengthy is 12cm, and diameter 10 cm , so as to cover th ecurved surface area of the cylinder. Find the mass of the wire ,  assuming the density of steel to be 8.88g/cm3.
Asked by Shrinivas | 20 Feb, 2016, 08:44: PM
answered-by-expert Expert Answer
begin mathsize 14px style d equals D i a m e t e r space o f space s t e e l space w i r e equals 3 m m equals 3 over 10 space c m h equals H e i g h t space left parenthesis l e n g t h right parenthesis space o f space c y l i n d e r equals 12 space c m N o. space o f space r o u n d s space t a k e n space b y space t h e space w i r e space t o space c o v e r space t h e space C. S. A. space o f space c y l i n d e r equals h over d equals fraction numerator 12 over denominator begin display style 3 over 10 end style end fraction equals 120 over 3 equals 40 L e n g t h space o f space w i r e space u s e d space i n space t a k i n g space o n e space r o u n d equals 2 πr equals 2 cross times 3.14 cross times 5 equals 31.4 space cm rightwards double arrow Total space length space of space wire space used space in space covering space the space straight C. straight S. straight A. space of space cylinder equals 31.4 cross times 40 equals 1256 space cm Mass space of space wire equals Length cross times Density equals 1256 cross times 8.88 equals 11153.28 space gm end style
Answered by Rashmi Khot | 22 Feb, 2016, 11:54: AM

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ICSE 10 - Maths
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