Volume of a Cylinder: Calculate Weight

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To calculate the weight of a hollow cylindrical copper pipe, first determine the volume by calculating the outer and inner cylinder volumes separately using the formula V = πr²h. The outer diameter should be converted to meters, and the inner diameter should be verified as it may have been misstated. Subtract the inner volume from the outer volume to find the volume of the copper material. Finally, use the density of copper (ρ = 8.9E3 kg/m³) to calculate the mass and then apply the weight formula w = Mg. This method provides a clear approach to solving the problem.
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Homework Statement



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?

Homework Equations



ρ = M/V = 8.9E3
w = Mg

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?
 
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Eagle's Wings said:

Homework Statement



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?

Homework Equations



ρ = M/V = 8.9E3
w = Mg

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?
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.
 
Mark44 said:
you have a nearly solid chunk of copper with a narrow hole in the middle.

Assuming that OP meant 3.5cm, and 2.5cm respectively;

Use your equation for the Volume of Cylinder:
V = \pi r^2 h
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):

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

(in cubic meters)

Now you can find the Mass.
 
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