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

20,096 cubic meters
20,096 cubic meters

15,700 cubic meters
15,700 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 first need to identify its shape. Since the tower is generally cylindrical in shape, we can use the formula for the volume of a cylinder:

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

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

Given:
- Height (\( h \)) = 25 meters,
- Width = 16 meters (which means the diameter is 16 meters, so the radius \( r \) is half of that):

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

Now plug the values into the volume formula:

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

Calculate \( (8)^2 \):

\[ (8)^2 = 64 \]

Now substitute that back into the equation:

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

Now calculate \( 64 \times 25 \):

\[ 64 \times 25 = 1600 \]

Now substitute that back into the equation:

\[ V = 3.14 \times 1600 \]

Now calculate \( 3.14 \times 1600 \):

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

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

The correct response is:

**5,024 cubic meters**.