The coil

How many ropes (the diameter 8 mm) fit on the coil (threads are wrapped close together) The coil has dimension: the inner diameter 400mm, the outside diameter 800mm and the length of the coil is 470mm

Correct result:

x =  2768.5285 m

Solution:

D=8 mm D1=400 mm D2=800 mm l=470 mm  r1=D1/2=400/2=200 mm r2=D2/2=800/2=400 mm  S1=π r12=3.1416 2002125663.7061 mm2 S2=π r22=3.1416 4002502654.8246 mm2  V=(S2S1) l=(502654.8246125663.7061) 470=177185825.662 mm3  S3=D2=82=64 mm2  x1=V/S3=177185825.662/642768528.526 mm x=x1/1000=2768528.526/1000=2768.5285 m



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