Solve for the length of a cylinder


by lshine09
Tags: length of a cylinder
lshine09
lshine09 is offline
#1
Jan13-10, 08:28 PM
P: 7
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.
V=(2.850g)/(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?
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
Phys.Org News Partner Science news on Phys.org
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
rock.freak667
rock.freak667 is offline
#2
Jan13-10, 08:34 PM
HW Helper
P: 6,214
2.8μm=2.8x10-6m
lshine09
lshine09 is offline
#3
Jan13-10, 08:38 PM
P: 7
ha THANKS! As always, a retarded mistake.


Register to reply

Related Discussions
Proof involving a cylinder rolling off of a larger cylinder Advanced Physics Homework 3
Basic Calculus III- Arc Length Parameter and Length- Getting a negative length Calculus & Beyond Homework 6
Lagrange - Cylinder rolling on a Fixed Cylinder Advanced Physics Homework 9
Length of the curve integral, can't solve the integral Calculus & Beyond Homework 2
HELP: contact area of Cylinder inside a larger Cylinder? General Math 6