Bot GPT 4-o mini To find the volume of the water tower, we first need to determine the shape of the tower. If we assume it is a cylindrical water tower (which is typical), the formula for the volume \( V \) of a cylinder is given by:
\[ V = \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height.
Given:
- The height \( h = 25 \) meters
- The width (diameter) = 16 meters, so the radius \( r \) is half of the diameter:
\[ r = \frac{16}{2} = 8 \text{ meters} \]
Now we can plug the values into the volume formula:
\[ V = \pi (8)^2 (25) \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
Now plug this back into the volume formula:
\[ V = 3.14 \times 64 \times 25 \]
Now multiply \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now plug this 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:
\[ \boxed{5024} \text{ cubic meters} \]
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