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The problem states:

- A **350 m³** retention pond collects rainwater.
- The outflow rate from the pond is limited to **320 L/min** to prevent downstream flooding over a 6-hour storm.
- We need to find the maximum **inflow rate** (in L/min) that will not cause the pond to overflow during the 6-hour storm.

### Steps:

1. **Convert the pond volume** from cubic meters to liters:
   \[
   350 \, \text{m}^3 = 350 \times 1000 = 350,000 \, \text{L}
   \]
   
2. **Calculate total outflow** during the 6-hour storm:
   - 6 hours = \(6 \times 60 = 360\) minutes
   - Outflow rate is 320 L/min, so the total outflow over 360 minutes is:
   \[
   \text{Total outflow} = 320 \, \text{L/min} \times 360 \, \text{min} = 115,200 \, \text{L}
   \]

3. **Net water that can enter the pond** without overflowing:
   \[
   \text{Net water volume} = \text{Pond volume} - \text{Outflow} = 350,000 \, \text{L} - 115,200 \, \text{L} = 234,800 \, \text{L}
   \]

4. **Maximum inflow rate**:
   Since the storm lasts 360 minutes, the maximum inflow rate \(R\) is:
   \[
   R = \frac{234,800 \, \text{L}}{360 \, \text{min}} = 652 \, \text{L/min}
   \]

Thus, the maximum inflow rate is **652 L/min**.

None of the given options exactly match this answer, which suggests that additional constraints or misinterpretation may be involved. Let me know if you would like to dive deeper or clarify further. 

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

### 5 Related Questions:
1. How is the total volume of water managed in retention ponds typically calculated?
2. How do retention ponds help prevent flooding in urban areas?
3. What happens if the inflow rate exceeds the pond's capacity during heavy storms?
4. How do engineers calculate optimal outflow rates for stormwater systems?
5. How does the duration of the storm impact the design of retention ponds?

**Tip**: Always double-check unit conversions when dealing with volume and flow rate problems, especially between m³ and liters.

A 350 m³ retention pond that holds rainwater from a shopping mall is empty at the beginning of a rainstorm. The flow rate out of the retention pond must be restricted to 320 L/min to prevent downstream flooding from a 6-hour storm. What is the maximum flow rate (in L/min) into the pond from a 6-hour storm that will not flood it? Options: a. 1145 L/min, b. 1290 L/min, c. 1389 L/min, d. 1410 L/min

Find out how to calculate the maximum inflow rate (in L/min) for a 350 m³ retention pond during a 6-hour rainstorm while restricting the outflow to 320 L/min to prevent flooding. This problem involves volume conversion and flow rate calculations, suitable for high school students.

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