To calculate the volume of a cylindrical water tower, we can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where:
- \(V\) is the volume,
- \(\pi\) is a constant (approximately 3.14),
- \(r\) is the radius of the cylinder,
- \(h\) is the height of the cylinder.
Given:
- The width of the water tower is 16 meters, which means the diameter is 16 meters. Therefore, the radius \(r\) is:
\[ r = \frac{diameter}{2} = \frac{16}{2} = 8 \text{ meters} \]
- The height \(h\) of the water tower is 25 meters.
Now, we can substitute the values into the volume formula:
\[ V = 3.14 \times (8)^2 \times 25 \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
Now, substituting back:
\[ V = 3.14 \times 64 \times 25 \]
Calculating \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now we need to calculate \( 3.14 \times 1600 \):
\[ V = 3.14 \times 1600 = 5024 \]
Thus, the volume of the water tower is:
\[ \boxed{5,024} \text{ cubic meters} \]
The correct answer is 1. 5,024 cubic meters.