a water tower has a height of 25 meters and width of 16 meters.what is the volume of the bottle of water.use 3.14 for pi

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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**.