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 5,024 cubic meters 5,024 cubic meters 7,850 cubic meters

1 answer

To calculate the volume of a water tower, we need to know 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

Given:

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

Now we can plug in 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.

So the correct response is 5,024 cubic meters.