To solve this problem, let's break down each part:

Given Information

1. Volume of the swimming pool: $V = 8.57 \, \text{m}^3$
2. Inner radius of each half-cylinder: $r = 1 \, \text{m}$
3. Total length of the pool (including the half-cylinders): $2 \, \text{m}$

The pool consists of:

• A rectangular prism section in the middle.
• Two half-cylinders on each end.

Part 5.1: Calculate the Depth of the Swimming Pool ($h$)

Since the pool has a volume of $8.57 \, \text{m}^3$, we can set up an equation for the total volume using the volume of the rectangular prism and the two half-cylinders.

Step 1: Volume of the Rectangular Prism

The rectangular prism has:

• Length $l = 2 - 2 \times 1 = 0 \, \text{m}$ (this calculation appears incorrect; instead, we should calculate for the central section as given in the diagram).