To find the volume of the water tower, we need to determine its shape. If we assume the water tower is in the shape of a cylinder, we can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height.
Given:
- Height \( h = 25 \) meters,
- Width (diameter) = 16 meters, so the radius \( r = \frac{16}{2} = 8 \) meters.
Now we can substitute the values into the formula:
\[ V = 3.14 \times (8)^2 \times 25 \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
Now plug that back into the volume formula:
\[ V = 3.14 \times 64 \times 25 \]
Calculating \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now substitute that back into the formula:
\[ V = 3.14 \times 1600 \]
Now calculating \( 3.14 \times 1600 \):
\[ V = 5024 \]
Thus, the volume of the water tower is 5,024 cubic meters.
So, the correct answer is 5,024 cubic meters.