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

1 answer

To calculate the volume of the water tower, assuming it's in the shape of a cylinder, we can use the formula for the volume of a cylinder:

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

Where:

  • \( V \) = volume
  • \( \pi \) = 3.14 (as given)
  • \( r \) = radius of the cylinder
  • \( h \) = height of the cylinder

From the information provided:

  • Height (\( h \)) = 25 meters
  • Width = 16 meters, which gives a diameter of 16 meters. Therefore, the radius (\( r \)) is half of the diameter:

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

Now, we can plug the values into the volume formula:

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

Calculating the radius squared:

\[ 8^2 = 64 \]

Now multiplying:

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

Calculating \( 64 \times 25 \):

\[ 64 \times 25 = 1600 \]

Now we calculate the volume:

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

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

Therefore, the correct response is 5,024 cubic meters.