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 15,700 cubic meters 20,096 cubic meters 20,096 cubic meters 7,850 cubic meters 7,850 cubic meters 5,024 cubic meters

Answer 1

To find the volume of the water tower, we need to determine its shape. If we assume the water tower is in the shape of a cylinder, 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.

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

Now we can substitute the values into the formula:

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

Calculating \( (8)^2 \):

\[
(8)^2 = 64
\]

Now plug that back into the volume formula:

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

Calculating \( 64 \times 25 \):

\[
64 \times 25 = 1600
\]

Now substitute that back into the formula:

\[
V = 3.14 \times 1600
\]

Now calculating \( 3.14 \times 1600 \):

\[
V = 5024
\]

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

So, the correct answer is **5,024 cubic meters**.