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To find the volume of the cylindrical water dispenser, we use the formula for the volume of a cylinder:

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

Where:
- \( r \) is the radius of the base,
- \( h \) is the height,
- \( \pi \) is approximately \( \frac{22}{7} \).

From the diagram:
- The diameter of the dispenser is 42 cm, so the radius \( r \) is half of that: 
  \[
  r = \frac{42}{2} = 21 \, \text{cm}
  \]
- The height \( h \) is given as 40 cm.

Now we can substitute these values into the formula:

\[
V = \frac{22}{7} \times (21)^2 \times 40
\]
\[
V = \frac{22}{7} \times 441 \times 40
\]
\[
V = 22 \times 63 \times 40
\]
\[
V = 22 \times 2520
\]
\[
V = 55440 \, \text{cm}^3
\]

Thus, the volume of the water dispenser is **55,440 cm³**.

Would you like more details or have any other questions? Here are five related questions to expand on this concept:

1. What is the volume in liters, given that \(1 \, \text{cm}^3 = 0.001 \, \text{liters}\)?
2. How would the volume change if the diameter was increased by 10%?
3. Can you calculate the surface area of this cylindrical dispenser?
4. What is the weight of the water in the dispenser if water has a density of 1 g/cm³?
5. How does changing the height affect the volume of a cylinder?

**Tip:** Always double-check the units when calculating volume, especially if the final answer requires a conversion to liters or another unit.

What is the volume of the water dispenser? (Use π = 22/7, Formula for the volume of a cylinder = πr²h)

Learn how to calculate the volume of a cylindrical water dispenser with a radius of 21 cm and height of 40 cm. This problem involves geometry concepts and applying the formula for the volume of a cylinder V = πr²h, using π = 22/7.

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