Question 1181778
Here's how to calculate the total volume of water in the tank and pipe:

**1. Calculate the volume of the pipe:**

*   The pipe is a cylinder.
*   Pipe diameter = 1.5 ft, so the radius is 1.5 ft / 2 = 0.75 ft.
*   Pipe length (height) = 40 ft.
*   Volume of a cylinder = π * radius² * height
*   Pipe volume = π * (0.75 ft)² * 40 ft ≈ 70.69 ft³

**2. Calculate the volume of the cylindrical part of the tank:**

*   Tank diameter = 6 ft, so the radius is 6 ft / 2 = 3 ft.
*   Cylinder height = 6 ft.
*   Cylinder volume = π * (3 ft)² * 6 ft ≈ 169.65 ft³

**3. Calculate the volume of the conical part of the tank:**

*   Cone radius = 3 ft (same as the cylinder).
*   Cone height = 3 ft.
*   Volume of a cone = (1/3) * π * radius² * height
*   Cone volume = (1/3) * π * (3 ft)² * 3 ft ≈ 28.27 ft³

**4. Calculate the volume of the hemispherical base:**

*   Hemisphere radius = 3 ft (same as the cylinder and cone).
*   Volume of a hemisphere = (2/3) * π * radius³
*   Hemisphere volume = (2/3) * π * (3 ft)³ ≈ 56.55 ft³

**5. Calculate the total volume:**

*   Total volume = Pipe volume + Cylinder volume + Cone volume + Hemisphere volume
*   Total volume ≈ 70.69 ft³ + 169.65 ft³ + 28.27 ft³ + 56.55 ft³ ≈ 325.16 ft³

**Therefore, the volume of water in the tank and pipe when full is approximately 325.16 cubic feet.**