To calculate the volume of the water tower, we'll assume it is in the shape of a cylinder. The formula for the volume of a cylinder is given by:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given that the width (diameter) of the water tower is 16 meters, the radius would be:
\[ r = \frac{\text{diameter}}{2} = \frac{16}{2} = 8 \text{ meters} \]
Now, we can plug in the values into the volume formula:
\[ V = 3.14 \times (8^2) \times 25 \]
Calculating \( 8^2 \):
\[ 8^2 = 64 \]
Now substituting back into the equation:
\[ V = 3.14 \times 64 \times 25 \]
Calculating \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now we can find the volume:
\[ V = 3.14 \times 1600 \]
Calculating this gives:
\[ V = 5024 \]
Thus, the volume of the water tower is \( 5024 \) cubic meters.
The correct answer is:
5,024 cubic meters.