Volume of a Cylinder: Calculate Weight

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SUMMARY

The discussion focuses on calculating the weight of a hollow cylindrical copper pipe with a length of 1.5m, an outside diameter of 35cm, and an inside diameter of 2.5cm. Participants clarify that to find the volume, one must calculate the volume of the outer cylinder and subtract the volume of the inner cylinder. The relevant equations include the density of copper (ρ = 8.9E3 kg/m³) and the weight formula (w = Mg). The correct approach involves converting diameters to meters and applying the volume formula for cylinders: V = πr²h.

PREREQUISITES
  • Understanding of the volume formula for cylinders (V = πr²h).
  • Knowledge of density and its application in weight calculations (ρ = M/V).
  • Ability to perform unit conversions (cm to m).
  • Familiarity with basic geometry concepts related to hollow shapes.
NEXT STEPS
  • Learn how to calculate the volume of composite shapes, specifically hollow cylinders.
  • Study the principles of density and its role in mass and weight calculations.
  • Explore unit conversion techniques between metric units.
  • Investigate the properties of copper and its applications in engineering.
USEFUL FOR

Students studying physics or engineering, particularly those focusing on material properties and geometric calculations. This discussion is also beneficial for anyone involved in practical applications of density and weight calculations in manufacturing or construction.

Eagle's Wings
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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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