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.
5,024 cubic meters
5,024 cubic meters

20,096 cubic meters
20,096 cubic meters

15,700 cubic meters
15,700 cubic meters

7,850 cubic meters
7,850 cubic meters

Answer 1

To calculate the volume of a water tower, we can assume it has the shape of a cylinder (which is 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 of the base of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is a constant approximately equal to 3.14.

Given:
- Height \( h = 25 \) meters
- Diameter = 16 meters, therefore the radius \( r = \frac{16}{2} = 8 \) meters.

Now we can substitute the values into the volume formula:

\[
V = 3.14 \times (8^2) \times 25
\]

Calculating \( 8^2 \):

\[
8^2 = 64
\]

Now, substitute that in:

\[
V = 3.14 \times 64 \times 25
\]

Now calculate \( 64 \times 25 \):

\[
64 \times 25 = 1600
\]

Now substitute back into the volume equation:

\[
V = 3.14 \times 1600
\]

Calculating that gives:

\[
V = 5024
\]

So, the volume of the water tower is

\[
\boxed{5,024} \text{ cubic meters.}
\]