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This problem asks us to determine how many cylindrical-shaped cups are needed, based on the diagram and the measurements given.

The formula for the volume \( V \) of a cylinder is:

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

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

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

Substituting these values into the formula:

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

Now, depending on how much total volume of water is needed, we can divide the total volume by the volume of one cup to find the number of cups needed.

Could you provide the total volume of water required or more details about what the question means by "How many cups are needed?" Is it asking for the volume per cup or for some total volume comparison?

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Here are some relative questions for further exploration:
1. How would the calculation change if the height of the cup were doubled?
2. What would happen if the diameter of the cup were increased by 50%?
3. Can the same formula be applied to non-cylindrical containers?
4. What is the effect of changing the cup's material on the overall design if we were to optimize for insulation?
5. If multiple cups are stacked together, how would you calculate the total volume?

**Tip:** When working with volume in real-life problems, always ensure that all dimensions are in the same units before calculation.

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-shaped cup using the formula V = πr^2h. This geometry problem involves determining the number of cups needed based on the cup's diameter (6 cm) and height (9 cm). Suitable for students in Grades 7-9.

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