To calculate the volume of water the pool can hold, we need to consider the following:

• The pool is a circular shape with a radius ($r$) of 2 meters.
• The water is filled to a height ($h$) of 1.2 meters (as mentioned in the question).
• The formula for the volume of a cylinder is given by:

$V = \pi r^2 h$

Where:

• $V$ is the volume,
• $r$ is the radius of the base of the pool,
• $h$ is the height of the water,
• $\pi$ is approximately 3.14159.

Step-by-Step Calculation:

1. Radius ($r$) = 2 m
2. Height of water ($h$) = 1.2 m
3. Formula: $V = \pi \times (2^2) \times 1.2$

$V = 3.14159 \times 4 \times 1.2 = 15.0796 \, \text{m}^3$

Since 1 cubic meter equals 1000 liters:

$V = 15.0796 \times 1000 = 15,079.6 \, \text{liters}$

Final Answer:

The pool would hold approximately 15,080 liters of water when filled to 1.2 meters high.

Would you like further details, or do you have any questions?

Here are five related questions to explore:

1. How would the volume change if the height of the water increased to the full 1.36 meters?
2. How do we calculate the surface area of the pool?
3. What is the formula for the surface area of a cylinder?
4. How does the volume scale with respect to changes in the radius?
5. If the pool's diameter were increased by 1 meter, how would the volume change?

Tip: Always double-check units when converting between volume (cubic meters) and liters (1000 liters = 1 cubic meter).