To find the volume of the water tower, which is shaped like 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, and
- \( h \) is the height.
Given:
- The height \( h = 25 \) meters,
- The diameter (width) is \( 16 \) meters, so the radius \( r \) is half of that:
\[ r = \frac{16}{2} = 8 \text{ meters} \]
Now, substituting the values into the formula. Using \( \pi = 3.14 \):
\[ V = 3.14 \times (8)^2 \times 25 \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
So,
\[ V = 3.14 \times 64 \times 25 \]
Calculating \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now substituting that back into the volume formula:
\[ V = 3.14 \times 1600 \]
Calculating \( 3.14 \times 1600 \):
\[ V = 5024 \]
Thus, the volume of the water tower is 5,024 cubic meters.
The correct response is:
5,024 cubic meters.