To find the volume of the water tower, we can assume it is in the shape of a cylinder (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 and \( h \) is the height.
Given:
- The height \( h = 25 \) meters
- The width (diameter) of the cylinder \( D = 16 \) meters, therefore the radius \( r = \frac{D}{2} = \frac{16}{2} = 8 \) meters
Now substituting the values into the volume formula:
\[ V = 3.14 \times (8)^2 \times 25 \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
Now substitute \( 64 \) back into the equation:
\[ V = 3.14 \times 64 \times 25 \]
Calculating \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now substitute \( 1600 \) into the equation:
\[ V = 3.14 \times 1600 \]
Now calculate:
\[ 3.14 \times 1600 = 5024 \]
Thus, the volume of the water tower is 5,024 cubic meters. The correct response is:
5,024 cubic meters.
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