Physics education research, electronic materials, and the musings of Christopher Moore, Ph.D.

1. The problem statement, all variables and given/known data

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.If a sample of gold with a mass of 2.850 g  is drawn out into a cylindrical fiber of radius 2.800 μm, what is the length (in m) of the fiber?

2. Relevant equations

Volume of Cylinder= (PI)(R^2)(h)
V=M/D

3. The attempt at a solution

1. I converted the density from g/cm3 in g/m3.
D= 19320000 g/m3

2. I use the equation V=M/D to solve for the Volume of the cylinder.
V2.850g)/(19320000 g/m3)
V= 1.475155E-7 m3

3. I converted the Radius from um into m
2.8 um * (1m/10E-6 um)= 2800000

4. I set the Volume of the cylinder equal to (PI)(R^2)(h) and plugged in the radius in m
(PI)(2800000^2)(h)= 1.475155E-7 m3

5. I then solved for h and got the answer of: 5.989E-21 (rounded to 4 SF)





I have gotten that answer over and over but our online physics homework system WileyPlus says it is incorrect.  Any ideas where I went wrong?