To find the volume of the water tower, we need to determine its shape. If we assume that the water tower is cylindrical (which is common for water towers), 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 of the base
- \( h \) is the height of the cylinder
Given:
- Height \( h = 25 \) meters
- Width \( = 16 \) meters, which implies the diameter \( d = 16 \) meters
- Therefore, the radius \( r = \frac{d}{2} = \frac{16}{2} = 8 \) meters
Now we can plug these values into the volume formula:
\[ V = 3.14 \times (8)^2 \times 25 \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
Now substitute this value back into the volume formula:
\[ V = 3.14 \times 64 \times 25 \]
Calculating \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now substitute this back into the equation:
\[ V = 3.14 \times 1600 \]
Calculating \( 3.14 \times 1600 \):
\[ V = 5024 \]
Thus, the volume of the water tower is 5,024 cubic meters.
So, the correct response is:
5,024 cubic meters.
1 answer