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To solve this problem, we need to calculate the amount of water left in the water dispenser after 200 glasses were used, based on the given information.

### Step 1: Volume of the Water Dispenser
We are given the formula for the volume of a cylinder:

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

where:
- \( r \) is the radius of the base (half of the diameter),
- \( h \) is the height of the cylinder, and
- \( \pi = \frac{22}{7} \).

From the diagram:
- Diameter \( = 6 \) cm, so the radius \( r = \frac{6}{2} = 3 \) cm,
- Height \( h = 7 \) cm.

Now substitute these values into the formula:

\[
V = \frac{22}{7} \times 3^2 \times 7
\]
\[
V = \frac{22}{7} \times 9 \times 7
\]
\[
V = 22 \times 9 = 198 \, \text{cm}^3
\]

This is the volume of the water dispenser when full.

### Step 2: Volume of Water Used
We know that 200 glasses of drinking water were used. However, the volume of each glass isn't provided directly, but we assume all the water was in the dispenser at first. So if all 200 glasses of water were taken out, it means some water might be left.

Without the volume of each glass, we can't directly calculate how much water is left. If the question assumes all water from the dispenser was used for the 200 glasses, then no water would remain. However, if it's asking how much water was left *after* 200 glasses were used, we would need the volume per glass.

Would you like to provide additional information on the volume per glass or clarify the question?

---

Here are 5 follow-up questions related to this:

1. How would the problem change if the volume per glass was provided?
2. What if the height of the cylinder changed? How would that affect the water left?
3. Could the same formula be used for other shapes of water dispensers?
4. How would the answer differ if the value of \( \pi \) was used as \( 3.14 \) instead?
5. What are practical methods to measure the volume of liquid in real life?

**Tip:** When calculating the volume of a cylinder, always double-check whether you're using the correct radius and height values!

Drinking water has been fully filled into the water dispenser. 200 glasses of drinking water, as shown in the diagram below, were used. How much drinking water is left in the water dispenser? (Use π = 22/7, Formula for the volume of a cylinder = πr^2h)

Learn how to determine the remaining water in a cylindrical dispenser after 200 glasses of water are used. This problem involves calculating the volume of a cylinder using π = 22/7, with a diameter of 6 cm and a height of 7 cm. Suitable for students in Grades 6-8.

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