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

15,700 cubic meters

20,096 cubic meters

7,850 cubic meters

Answer 1

To calculate the volume of the water tower, we need to determine its shape. If we assume the water tower is cylindrical, 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,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.

Given that the width (diameter) of the cylinder is 16 meters, the radius \( r \) would be half of that:

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

The height \( h \) of the cylinder is given as 25 meters.

Now, we can substitute these values into the volume formula:

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

Calculating \( (8)^2 \):

\[
(8)^2 = 64
\]

Now, substituting back into the formula:

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

Calculating \( 64 \times 25 \):

\[
64 \times 25 = 1600
\]

Now, substituting that value in:

\[
V = 3.14 \times 1600
\]

Now, multiplying:

\[
V = 5024 \text{ cubic meters}
\]

So, the volume of the water tower is **5,024 cubic meters**.