To find the volume of the water tower, we can model it as a cylinder. The formula for the volume \( V \) of a cylinder is given by:
\[ V = \pi r^2 h \]
where \( r \) is the radius, and \( h \) is the height.
Given:
- Height \( h = 25 \) meters
- Width (diameter) \( d = 16 \) meters
First, we need to find the radius \( r \):
\[ r = \frac{d}{2} = \frac{16}{2} = 8 \text{ meters} \]
Now, we can substitute the values into the volume formula:
\[ V = \pi r^2 h = 3.14 \times (8)^2 \times 25 \]
Calculating \( r^2 \):
\[ (8)^2 = 64 \]
Now substituting back into the volume formula:
\[ V = 3.14 \times 64 \times 25 \]
Calculating \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now calculating the volume:
\[ V = 3.14 \times 1600 \]
Calculating \( 3.14 \times 1600 \):
\[ V = 5024 \]
Thus, the volume of the water tower is:
\[ V = 5,024 \text{ cubic meters} \]
Therefore, the correct answer is 5,024 cubic meters.