Question

A water tower has a height of 25 meters and a width of 16 meters. What is the volume of the water tower? Use 3.14 for pi

Answer 1

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:

\[
\boxed{5024} \text{ cubic meters}
\]