• Support PF! Buy your school textbooks, materials and every day products Here!

Problem With Cylinder Involving Mass and Volume

  • Thread starter The James
  • Start date
  • #1
1
0

Homework Statement


There is a cylinder with two sections (not straight down the middle). One has density 4.5(g/cm^3) the other with 6.4. The radius of the cylinder is 6cm and the total length is 19cm. The total mass is 11833 grams. I need to find the length of the lighter density section of the cylinder.


Homework Equations


A of circle = pi*r^2
V = B*h
D = m/v


The Attempt at a Solution


I could easily solve this problem if I knew the steps to take. The total volume is about 113 cm^3, but I don't see how I can apply that information. Also, am I correct in thinking that densities cannot be combined? Sorry for the measly attempt, it is just that I am unable to find a way to solve this. The math should be easy. I just need a plan.
 

Answers and Replies

  • #2
CWatters
Science Advisor
Homework Helper
Gold Member
10,528
2,294
You can write plenty of equations. For example write equations for ...

1) The mass of the low density part MLD as a function of it's unknown length LLD
2) The mass of the high density part MHD as a function of it's unknown length LHD

You can also write v.simple equations such as ones for..

3) The total mass MTOTas a function of MLD and MHD
4) The total Length LTOT as a function of LLD and LHD

Then you will have lots of equations and some unknowns. Solve.
 

Related Threads for: Problem With Cylinder Involving Mass and Volume

  • Last Post
Replies
2
Views
1K
Replies
12
Views
235
Replies
7
Views
4K
Replies
4
Views
5K
Replies
1
Views
3K
  • Last Post
Replies
0
Views
2K
Replies
1
Views
1K
  • Last Post
Replies
1
Views
4K
Top