younkink younkink
  • 04-09-2017
  • Mathematics
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Diameter of sphere is 8cm it is beaten and drawn out to a diameter of 2 mm find length of wire

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W0lf93
W0lf93 W0lf93
  • 13-09-2017
Diameter of the sphere = 8 cm. Therefore, the radius of the sphere = 8/2 = 4 cm Volume of the sphere = 4/3 * 22/7 * 3 * 3 * 3 cu. cm. The sphere is beaten and drawn into a wire, the wire is cylinder of the diameter = 0.2 cm Area of the base of the cylinder = pi * r2 = 22/7 * 0.2 * 0.2 sq. cm volume of the wire = pi * r2 * I = 22/7 * 0.2 * 0.2 * 1 Therefore, 22/7 * 0.2 * 0.2 * I = 4/3 * 22/7 * 4 * 4 * 4 Therefore I = 4/3 * 22/7 * 4 * 4 * 4 * 7/22 * 1/0.04 I = 256/3 * 1/0.04 I = 2113 cm
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