since volume is mass/density, the volume of gold is 2.574 cm^3
since volume = area * thickness,
2.4*10^-4 a cm^3 = 2.574 cm^3
a = 10725 cm^2
volume is πr^2L, so
π(2.4*10^-4 cm)^2 * L = 2.574 cm^3
L = 1.422*10^7 cm = 142.2 km
Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber.
(a) If a sample of gold, with a mass of 49.73 g, is pressed into a leaf of 2.700 𝜇m thickness, what is the area of the leaf? (Put m^2 in your answer)
(b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.400 𝜇m, what is the length of the fiber? (Put km in your answer)
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