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)

15,700 cubic meters

5,024 cubic meters

20,096 cubic meters

7,850 cubic meters

Answer 1

To calculate the volume of the water tower, we'll assume it is in the shape of a cylinder. The formula for the volume of a cylinder is given by:

\[
V = \pi r^2 h
\]

Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.

Given that the width (diameter) of the water tower is 16 meters, the radius would be:

\[
r = \frac{\text{diameter}}{2} = \frac{16}{2} = 8 \text{ meters}
\]

Now, we can plug in the values into the volume formula:

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

Calculating \( 8^2 \):

\[
8^2 = 64
\]

Now substituting back into the equation:

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

Calculating \( 64 \times 25 \):

\[
64 \times 25 = 1600
\]

Now we can find the volume:

\[
V = 3.14 \times 1600
\]

Calculating this gives:

\[
V = 5024
\]

Thus, the volume of the water tower is \( 5024 \) cubic meters.

The correct answer is:

**5,024 cubic meters**.