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

1 answer

To calculate the volume of a water tower, we first need to determine its shape. Since the dimensions given (height and width) suggest a cylindrical water tower, we can use the volume formula for a cylinder:

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

Where:

  • \( V \) is the volume,
  • \( r \) is the radius,
  • \( h \) is the height, and
  • \( \pi \) is approximately 3.14.
  1. Determine the radius: Given the width of the water tower is 16 meters, the radius \( r \) would be half of the width.

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

  1. Use the height: The height \( h \) is given as 25 meters.

  2. Substitute the values into the volume formula:

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

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

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