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To calculate the capacity of each tank, we'll use the formula for the volume of a cylinder:

\[
V = \pi \times r^2 \times h
\]

Where:
- \( V \) is the volume,
- \( r \) is the radius of the cylinder,
- \( h \) is the height (in this case, the inlet height),
- \( \pi \approx 3.1416 \).

Since the diameter is provided for each tank, the radius \( r \) is half the diameter.

### Tank 1:
- **Diameter** = 2620 mm = 2.62 m
- **Inlet Height** = 1860 mm = 1.86 m

Radius \( r \) = \( \frac{2.62}{2} = 1.31 \) m.

Now, applying the formula:

\[
V_1 = \pi \times (1.31)^2 \times 1.86
\]

### Tank 2:
- **Diameter** = 2600 mm = 2.60 m
- **Inlet Height** = 1940 mm = 1.94 m

Radius \( r \) = \( \frac{2.60}{2} = 1.30 \) m.

Now, applying the formula:

\[
V_2 = \pi \times (1.30)^2 \times 1.94
\]

I'll calculate the volumes for both tanks.### Calculated Tank Capacities:

1. **Tank 1**: The calculated capacity is approximately **10,028 liters**.
2. **Tank 2**: The calculated capacity is approximately **10,300 liters**.

These values are slightly different from the listed capacity of **10,000 liters**. This discrepancy could be due to various factors like manufacturing tolerances, differences in the exact shape (e.g., tapering at the top), or the fact that the tanks' capacities may be rounded for simplicity in marketing.

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

### Relative Questions:
1. What is the formula used for the volume of a cylinder?
2. Why is the calculated capacity slightly different from the stated capacity?
3. How can manufacturing tolerances affect the capacity of a tank?
4. What other factors could lead to discrepancies in tank volumes?
5. How can the shape of a tank (e.g., tapering) affect its capacity?

### Tip:
Always remember to convert all units to a consistent system (e.g., meters for volume in cubic meters) before calculating volume to avoid errors.

Using the diameter and inlet height given, calculate the capacity of each tank in liters. Is the capacity exactly 10,000 liters? If not, explain why.

Calculate the capacity of two cylindrical tanks using their diameter and inlet height. This math problem applies geometry and volume formulas, ideal for students in Grades 7-9. Learn why the tank capacity might differ slightly from the stated 10,000 liters.

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