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

7,850 cubic meters
7,850 cubic meters

5,024 cubic meters
5,024 cubic meters

15,700 cubic meters
15,700 cubic meters

20,096 cubic meters

1 answer

To calculate the volume of the water tower, we shall assume it is cylindrical in shape, which is common for water towers. The formula for the volume \( V \) of a cylinder is:

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

where \( r \) is the radius of the base, and \( h \) is the height.

Given:

  • Height \( h = 25 \) meters
  • Width (diameter) = 16 meters, hence the radius \( r = \frac{16}{2} = 8 \) meters
  • Using \( \pi \approx 3.14 \)

Now, substituting the values:

\[ V = 3.14 \times (8)^2 \times 25 \] \[ V = 3.14 \times 64 \times 25 \] \[ V = 3.14 \times 1600 \] \[ V = 5024 \text{ cubic meters} \]

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

The correct response is:

5,024 cubic meters.