To find the volume of the water tower, we need to determine its shape. Assuming the water tower is shaped like a cylinder, the formula for the volume \( V \) of a cylinder is:
\[ V = \pi r^2 h \]
Where:
- \( \pi \) is approximately 3.14
- \( r \) is the radius
- \( h \) is the height
Given that the width (diameter) of the water tower is 16 meters, the radius \( r \) can be calculated as:
\[ r = \frac{\text{diameter}}{2} = \frac{16}{2} = 8 \text{ meters} \]
The height \( h \) is given as 25 meters.
Now, we can plug the values into the volume formula:
\[ V = 3.14 \times (8)^2 \times 25 \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
Now substituting this back into the formula:
\[ V = 3.14 \times 64 \times 25 \]
Calculating \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now substituting this into the volume equation:
\[ V = 3.14 \times 1600 \]
Calculating this:
\[ V = 5024 \text{ cubic meters} \]
Therefore, the volume of the water tower is 5,024 cubic meters.