To calculate the volume of a water tower, we can assume it has the shape of a cylinder (which is a common shape for water towers). The formula for the volume \( V \) of a cylinder is given by:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is a constant approximately equal to 3.14.
Given:
- Height \( h = 25 \) meters
- Diameter = 16 meters, therefore the radius \( r = \frac{16}{2} = 8 \) 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, substitute that in:
\[ V = 3.14 \times 64 \times 25 \]
Now calculate \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now substitute back into the volume equation:
\[ V = 3.14 \times 1600 \]
Calculating that gives:
\[ V = 5024 \]
So, the volume of the water tower is
\[ \boxed{5,024} \text{ cubic meters.} \]
1 answer