To calculate the volume of a cylindrical water tower, the formula used is:
\[ \text{Volume} = \pi r^2 h \]
Where:
- \( \pi \) is approximately 3.14,
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.
Given:
- Height (\( h \)) = 25 meters,
- Width = 16 meters, which means the diameter = 16 meters.
To find the radius \( r \): \[ r = \frac{\text{Diameter}}{2} = \frac{16}{2} = 8 \text{ meters}. \]
Now, we can substitute the values into the volume formula:
\[ \text{Volume} = 3.14 \times (8^2) \times 25 \]
Calculating \( 8^2 \): \[ 8^2 = 64 \]
Now substituting back into the formula: \[ \text{Volume} = 3.14 \times 64 \times 25 \]
Calculating \( 64 \times 25 \): \[ 64 \times 25 = 1600 \]
Now substituting this back in: \[ \text{Volume} = 3.14 \times 1600 \]
Calculating \( 3.14 \times 1600 \): \[ \text{Volume} = 5024 \text{ cubic meters} \]
Thus, the volume of the water tower is:
\[ \boxed{5,024} \text{ cubic meters} \]
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