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Volume of a cylinder

  1. Nov 1, 2013 #1
    1. The problem statement, all variables and given/known data

    a hollow cylindrical copper pipe is 1.5m long and has an outside diameter of 35cm and an inside diameter of 2.5 cm how much does it weight?

    2. Relevant equations

    ρ = M/V = 8.9E3
    w = Mg

    3. The attempt at a solution

    okay, so I know that I can just solve for M because I already have ρ but how do I find volume? do I just do πr^2h but what do I do with the inner and outer diameters?
     
  2. jcsd
  3. Nov 1, 2013 #2

    Mark44

    Staff: Mentor

    Are you sure about the dimensions of your cylinder? As you gave them, you have a nearly solid chunk of copper with a narrow hole in the middle.

    The "hole" is also a cylinder, so you can find its volume and subtract that from the larger volume.
     
  4. Nov 4, 2013 #3
    Assuming that OP meant 3.5cm, and 2.5cm respectively;

    Use your equation for the Volume of Cylinder:
    [tex]V = \pi r^2 h[/tex]
    So like Mark said - find the volume of the cylinder and subtract the volume of the inner 'cylinder' and then you will have the V to find your weight with. (converting cm to m):

    [tex]V_{outer} = \pi (0.035m)^2 (1.5m)[/tex]
    [tex] V_{inner} = \pi (0.025m)^2 (1.5m)[/tex]
    [tex] V_{outer} - V_{inner} = V_{pipe}[/tex]

    (in cubic meters)

    Now you can find the Mass.
     
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