## Answer :

1.

**Understanding the given data:**

- The capacity of the swimming pool is 3000 kiloliters (kl).

- The length of the swimming pool is 50 meters (m).

- The width of the swimming pool is 20 meters (m).

2.

**Unit Conversion:**

- 1 kiloliter (kl) is equivalent to 1 cubic meter (m³). Therefore, 3000 kiloliters is equal to 3000 cubic meters (m³).

3.

**Volume Formula:**

- The volume [tex]\(V\)[/tex] of a rectangular prism (which the swimming pool resembles) is given by the formula:

[tex]\[ V = \text{length} \times \text{width} \times \text{height} \][/tex]

In our case:

[tex]\[ V = 3000 \, \text{m}^3 \][/tex]

[tex]\[ \text{length} = 50 \, \text{m} \][/tex]

[tex]\[ \text{width} = 20 \, \text{m} \][/tex]

We need to find the height [tex]\(h\)[/tex].

4.

**Rearranging the formula to solve for height:**

[tex]\[ h = \frac{V}{\text{length} \times \text{width}} \][/tex]

5.

**Substituting the given values:**

[tex]\[ h = \frac{3000 \, \text{m}^3}{50 \, \text{m} \times 20 \, \text{m}} \][/tex]

6.

**Performing the calculation:**

[tex]\[ h = \frac{3000 \, \text{m}^3}{1000 \, \text{m}^2} \][/tex]

Simplifying the right-hand side:

[tex]\[ h = 3 \, \text{m} \][/tex]

So, the height of the swimming pool is

**3 meters**.