Final answer:
To find the volume of the copper in the pipe, we calculate the volume of the cylindrical region between the outer and inner diameters using the formula V = π(h)(r₂² - r₁²). The volume of the copper in the pipe is approximately 1.08737 cubic inches.
Step-by-step explanation:
To find the volume of the copper in the pipe, we need to find the volume of the cylindrical region between the outer and inner diameters of the pipe. First, we need to find the radius of the inner and outer diameters:
Inner radius (r₁) = 0.5/2 = 0.25 inches
Outer radius (r₂) = 0.65/2 = 0.325 inches
Next, we can use the formula for the volume of a cylindrical region:
V = π(h)(r₂² - r₁²)
Given that the length of the pipe (h) is 8 inches, we can substitute the values into the formula:
V = 3.142 * 8 * (0.325² - 0.25²)
V = 3.142 * 8 * (0.105625 - 0.0625)
V = 3.142 * 8 * 0.043125
V = 1.08737 cubic inches