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What is the volume of the water dispenser? 

(Use 𝜋 = 22/7 , Formula for the volume of a cylinder = 𝜋𝑟²ℎ)   

To calculate the volume of the water dispenser, we need to use the formula for the volume of a cylinder:

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

Given:
- The height \( h \) of the cylinder is 40 cm.
- The diameter of the cylinder is 42 cm, which means the radius \( r \) is half of the diameter.

So, the radius \( r \) is:

\[
r = \frac{42 \, \text{cm}}{2} = 21 \, \text{cm}
\]

Using the value of \( \pi \) as \( \frac{22}{7} \):

\[
V = \pi r^2 h = \frac{22}{7} \times (21 \, \text{cm})^2 \times 40 \, \text{cm}
\]

Calculating \( r^2 \):

\[
21^2 = 441 \, \text{cm}^2
\]

Now, plug in the values:

\[
V = \frac{22}{7} \times 441 \, \text{cm}^2 \times 40 \, \text{cm}
\]

\[
V = \frac{22 \times 441 \times 40}{7} \, \text{cm}^3
\]

\[
V = \frac{388080}{7} \, \text{cm}^3
\]

\[
V = 55440 \, \text{cm}^3
\]

So, the volume of the water dispenser is \( 55,440 \, \text{cm}^3 \).

Would you like more details or have any questions?

Here are some related questions for further exploration:

1. How would the volume change if the diameter was increased by 10%?
2. What is the volume in liters, considering \( 1 \, \text{cm}^3 = 0.001 \, \text{L} \)?
3. How much water (in kilograms) can the dispenser hold if the density of water is \( 1 \, \text{kg/L} \)?
4. What would be the volume if the height was reduced by 5 cm?
5. How does the volume change if both the radius and height are doubled?
6. What is the surface area of the water dispenser?
7. If the dispenser was a rectangular prism with the same height and volume, what would be the dimensions of its base?
8. How many such dispensers would be needed to store 1 cubic meter of water?

**Tip:** When working with volumes, always ensure that all measurements are in the same units before performing calculations.

Learn how to calculate the volume of a water dispenser using the cylinder volume formula V = πr^2h. Given the dimensions of the cylinder, compute the volume step-by-step with detailed explanations. Suitable for Grades 7-9.

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