To determine how much water can be pumped from the aquifer while keeping the water budget balanced, we will follow these steps:
1. Understand the Inputs: The aquifer gains water from precipitation and loses some water through natural movement.
- Precipitation received: [tex]\( 20 \, m^3 \)[/tex]
- Water lost due to natural movement: [tex]\( 2 \, m^3 \)[/tex]
2. Calculate the Amount of Water Left in the Aquifer:
- The initial water input is the precipitation received, which is [tex]\( 20 \, m^3 \)[/tex].
- Subtract the water lost due to natural movement from the precipitation. This gives us the available water that can be pumped.
3. Perform the Subtraction:
- Available Water = Precipitation - Natural Movement Loss
- Available Water = [tex]\( 20 \, m^3 \)[/tex] - [tex]\( 2 \, m^3 \)[/tex]
- Available Water = [tex]\( 18 \, m^3 \)[/tex]
4. Conclusion:
- The amount of water that can be pumped from the aquifer, ensuring the water budget is balanced, is [tex]\( 18 \, m^3 \)[/tex].
Thus, the correct answer is:
[tex]\[ 18 \, m^3 \][/tex]