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We have a cistern that is cylindrical with a base area of 3 m². The table shows the water level at different times of the day:

- **6:00**: Water level = 0.5 m
- **8:00**: Water level = 1.1 m
- **12:00**: Water level = 2.3 m
- **15:00**: Water level = 3.2 m

We need to calculate the flow rate, in cubic meters per hour, of the water course that fills the cistern. The flow rate can be determined by calculating how much volume of water enters the cistern per unit of time. Since the cistern is cylindrical, the volume of water is the base area multiplied by the water height.

Let's find the volume increase between each time interval and calculate the flow rate based on those changes. I'll compute this next.The average flow rate of the water course filling the cistern is approximately **0.9 cubic meters per hour**.

Would you like more details or have any further questions?

Here are some related questions to consider:

1. How would the flow rate change if the base area of the cistern were larger?
2. What would the total volume of water in the cistern be after 10 hours at this flow rate?
3. How can the time intervals impact the precision of the calculated flow rate?
4. How would a varying water flow (non-constant) affect the calculations?
5. What would happen to the flow rate if the cistern were a different shape, like a cone?

**Tip:** Always ensure that time intervals are consistent when calculating rates of change to avoid skewed results.

Qual foi a vazão, em metro cúbico por hora, do curso-d'água que abasteceu a cisterna?

Learn how to calculate the flow rate of water entering a cylindrical cistern using volume and rate-of-change formulas. The problem involves calculating the change in water level over time and determining the flow rate. Suitable for high school students, Grades 9-12.

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