The outside diameter of a pipe is 5 cm. The inside diameter is 4 cm. The pipe is 4 meters long. What is the volume of the material used for this length of pipe?Round your answer to the nearest cubic centimeter. (Hint: be sure that all units are in centimeters when completing this problem)

pi Ro^2 L - pi Rin^2 L

= pi L (Ro^2-Rin^2)

= pi * 400 (.025^2 - .02^2)

To find the volume of the material used for this length of pipe, we need to subtract the volume of the hollow region inside the pipe from the volume of the entire pipe.

The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height or length.

In this case, the outside diameter of the pipe is 5 cm, so the radius (r) is half of that, which is 2.5 cm. The inside diameter is 4 cm, so the inner radius is half of that, which is 2 cm.

First, let's find the volume of the entire pipe:
V_outer = π(2.5 cm)^2(400 cm) [converting 4 meters to 400 cm]
V_outer = 625π cubic cm

Next, let's find the volume of the hollow region inside the pipe:
V_inner = π(2 cm)^2(400 cm)
V_inner = 1600π cubic cm

Finally, we can subtract the volume of the hollow region from the volume of the entire pipe to find the volume of the material used:
V_material_used = V_outer - V_inner
V_material_used = 625π - 1600π
V_material_used ≈ 1086.41 cubic cm

So, the volume of the material used for this length of pipe is approximately 1086.41 cubic centimeters.

To find the volume of the material used for the given length of pipe, we need to calculate the volume of the pipe as a cylinder. The formula for the volume of a cylinder is:

Volume = π * r^2 * h

Where π (pi) represents the mathematical constant approximately equal to 3.14159, r is the radius of the pipe, and h is the height of the pipe (length).

First, we need to convert the given measurements to centimeters:

Given:
Outside diameter = 5 cm
Inside diameter = 4 cm
Length of pipe = 4 meters

To find the radius of the pipe, we divide the outside diameter by 2:
Outside radius = Outside diameter / 2 = 5 cm / 2 = 2.5 cm

Similarly, we find the inside radius by dividing the inside diameter by 2:
Inside radius = Inside diameter / 2 = 4 cm / 2 = 2 cm

Now, we have the outside and inside radii, and we can calculate the volume of the material used for the given length of pipe.

Volume of material used = π * (Outside radius^2 - Inside radius^2) * Height

Plugging in the values:
Volume = 3.14159 * (2.5^2 - 2^2) * 400 cm^3 (since 1 meter = 100 cm)

Simplifying:
Volume = 3.14159 * (6.25 - 4) * 400 cm^3
Volume = 3.14159 * 2.25 * 400 cm^3
Volume = 2827.4333875 cm^3

Round this answer to the nearest cubic centimeter:
Volume = 2827 cm^3

Therefore, the volume of the material used for the given length of the pipe is approximately 2827 cubic centimeters.