Final answer:
To determine the weight of a hollow cylindrical copper tube, the volume must first be calculated by finding the difference between the volumes of the outer and inner cylinders, and then multiplying the resultant volume by the density of copper.
Step-by-step explanation:
The subject of this question is Physics, as it involves concepts of volume and density to calculate the weight of a copper tube. To find out how much the copper tube weighs, we must first calculate the volume of the copper in the tube by finding the volume of the outer cylinder and subtracting the volume of the inner cylinder. The volume V can be calculated using the formula V = πh(r_o^2 - r_i^2), where h is the height (or length) of the cylinder, r_o is the outer radius, and r_i is the inner radius. The density of copper can then be used to calculate the mass (weight under gravity) of the copper tube.
For the copper tube question:
- Outer radius (r_o) = 4.50 cm / 2 = 2.25 cm
- Inner radius (r_i) = 3.50 cm / 2 = 1.75 cm
- Height (h) = Length of the tube = 2.50 m.
Using the density of copper which is ρ0 = 8.96 g/cm³ (or 8960 kg/m³), the mass (m) of the copper tube is calculated by the formula: m = ρ0 × V. Applying this approach will give the weight of the copper tube in kilograms.