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.(1 point)
Responses

5,024 cubic meters

15,700 cubic meters

7,850 cubic meters

20,096 cubic meters

Answer 1

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**.