To find the volume of the water tower, we first need to identify its shape. Since the tower is generally cylindrical in shape, we can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume,
- \( \pi \) is approximately 3.14,
- \( r \) is the radius of the base, and
- \( h \) is the height of the cylinder.
Given:
- Height (\( h \)) = 25 meters,
- Width = 16 meters (which means the diameter is 16 meters, so the radius \( r \) is half of that):
\[ r = \frac{16}{2} = 8 \text{ meters} \]
Now plug the values into the volume formula:
\[ V = 3.14 \times (8)^2 \times 25 \]
Calculate \( (8)^2 \):
\[ (8)^2 = 64 \]
Now substitute that back into the equation:
\[ V = 3.14 \times 64 \times 25 \]
Now calculate \( 64 \times 25 \):
\[ 64 \times 25 = 1600 \]
Now substitute that back into the equation:
\[ V = 3.14 \times 1600 \]
Now calculate \( 3.14 \times 1600 \):
\[ V = 5024 \text{ cubic meters} \]
Therefore, the volume of the water tower is 5,024 cubic meters.
The correct response is:
5,024 cubic meters.
1 answer