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

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

1 answer

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

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

where \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.

Given:

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

Now, substituting the values into the formula:

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

Calculating \( (8)^2 \):

\[ (8)^2 = 64 \]

Now substitute back into the volume formula:

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

First, calculate \( 64 \times 25 \):

\[ 64 \times 25 = 1600 \]

Now calculate the volume:

\[ V = 3.14 \times 1600 = 5024 \]

Thus, the volume of the water tower is:

\[ \boxed{5,024 \text{ cubic meters}} \]

The answer among the options provided is 5,024 cubic meters.