A carbon nanotube is a thin cylinder of carbon atoms that, pound by pound, is stronger than steel and may one day be used in clothing. With a diameter of 6.0*10^-10 in., a fiber can be made 200yd long. Find the volume of such a fiber.

Question

Mathematics

Paxton Weiss

18 March, 18:39

A carbon nanotube is a thin cylinder of carbon atoms that, pound by pound, is stronger than steel and may one day be used in clothing. With a diameter of 6.0*10^-10 in., a fiber can be made 200yd long. Find the volume of such a fiber.

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Karen Fox · Answer 1

100 yards * 36 = 3600 inches.

3600*1.257*10^-19 = 4523.9*10^-19 or 4.523*10^-16in^3

A cylinder volume is base times height, or an area of the circle times the other dimension. 4/2^2 is 4pi (12.57), and the yards have to be converted to inches. Check out my steps and see where you went wrong.