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A cross section of a cylindrical cistern is shown. What is the volume of the cistern.

To calculate the volume of this cistern, we can interpret the diagram as showing a vertical cross-section of a cylindrical structure. Based on the information provided:

1. **Diameter** of the cistern is labeled as \(2'-0''\), which is 2 feet.
2. **Height** of the cistern is labeled as \(4'-0''\), which is 4 feet.

### Step-by-Step Calculation

1. **Calculate the Radius**:
   \[
   \text{Radius} = \frac{\text{Diameter}}{2} = \frac{2 \text{ ft}}{2} = 1 \text{ ft}
   \]

2. **Volume of a Cylinder Formula**:
   The volume \(V\) of a cylinder is given by:
   \[
   V = \pi r^2 h
   \]
   where \(r\) is the radius and \(h\) is the height.

3. **Substitute the Values**:
   \[
   V = \pi \times (1 \text{ ft})^2 \times 4 \text{ ft} = \pi \times 1 \times 4 = 4\pi \text{ cubic feet}
   \]

4. **Approximate the Volume**:
   Using \( \pi \approx 3.14159 \),
   \[
   V \approx 4 \times 3.14159 = 12.5664 \text{ cubic feet}
   \]

### Final Answer
The volume of the cistern is approximately **12.57 cubic feet**.

Would you like additional details or have any questions?

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Here are five related questions for further exploration:

1. How would the volume change if the diameter were doubled?
2. What is the surface area of the interior of the cistern?
3. If the cistern were filled with water, how much would it weigh?
4. How would the volume calculation change for a cone-shaped cistern with the same dimensions?
5. What is the volume in liters instead of cubic feet?

**Tip:** When calculating volumes, always ensure that the units of measurement are consistent throughout the calculation.

A cross section of a cylindrical cistern is shown. What is the volume of the cistern?

Calculate the volume of a cylindrical cistern with a diameter of 2 feet and a height of 4 feet. This geometry problem demonstrates the application of the cylinder volume formula, suitable for Grades 7-9.

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