To find the volume of a water tower, we need to determine its shape. Assuming the water tower is cylindrical (as many water towers are), we can use the formula for the volume of a cylinder, which is:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height.
Given that the width (diameter) of the water tower is 16 meters, the radius \( r \) would be half of that:
\[ r = \frac{16}{2} = 8 \text{ meters} \]
The height \( h \) of the water tower is given as 25 meters.
Now we can plug these values into the volume formula:
\[ V = 3.14 \times (8)^2 \times 25 \]
First, calculate \( (8)^2 \):
\[ (8)^2 = 64 \]
Now substitute this value back into the volume equation:
\[ V = 3.14 \times 64 \times 25 \]
Next, calculate \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now, substitute this back to find the volume:
\[ V = 3.14 \times 1600 \]
Finally, calculate \( 3.14 \times 1600 \):
\[ V = 5024 \text{ cubic meters} \]
Therefore, the volume of the water in the tower is approximately 5024 cubic meters.