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To solve this problem, we need to calculate the volume of the cylindrical cup shown in the diagram. The cup's volume formula is given by the formula for the volume of a cylinder:

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

where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

From the diagram:
- The diameter of the base is 6 cm, so the radius \( r \) is \( \frac{6}{2} = 3 \) cm.
- The height \( h \) of the cup is 9 cm.

Now, let's calculate the volume.

\[
V = \pi (3)^2 (9) = \pi (9) (9) = 81\pi \text{ cubic centimeters}
\]

Using \( \pi \approx 3.1416 \):

\[
V \approx 81 \times 3.1416 = 254.47 \text{ cubic centimeters}
\]

Thus, the volume of one cup is approximately 254.47 cm³.

To determine how many cups are needed, we would require additional information, such as the total amount of liquid or water to be poured into these cups.

Would you like me to help with further details or calculations based on this? 

Here are five related questions to extend this topic:
1. How do we calculate the surface area of a cylindrical cup?
2. What would be the total volume if you needed to fill multiple cups?
3. How does the volume change if the height of the cup is doubled?
4. How does the volume of a cylinder compare to the volume of other shapes like cones or spheres?
5. How does changing the radius affect the overall volume of a cylinder?

**Tip:** When calculating volume, always make sure to convert all measurements to the same units before applying any formulas.

A cylindrical-shaped cup is prepared as shown in the diagram. The cup is filled completely with drinking water and will only be used once. How many cups are needed?

Learn how to calculate the volume of a cylindrical cup with a 6 cm diameter and 9 cm height. This problem demonstrates the use of the formula for the volume of a cylinder (V = πr²h) and provides a detailed step-by-step solution. Suitable for students in Grades 6-8.

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