The problem is asking how much water remains in a container after 200 glasses of water have been used from it. The glass is modeled as a cylinder, and the dimensions provided are:

Height of the glass: 7cm
Radius of the glass base: 6cm

To solve the problem with the updated dimensions, let's recalculate the volume of one glass of water using the new dimensions:

- Height of the glass: 7 cm
- Radius of the glass base: 6 cm

We'll again use the formula for the volume of a cylinder:

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

Given:
- \( r = 6 \, \text{cm} \)
- \( h = 7 \, \text{cm} \)
- \( \pi = 22/7 \)

We'll calculate the volume of one glass, then multiply by 200 to find the total volume of water used.

Let's perform the calculations.With the updated dimensions, the total volume of water used by 200 glasses is **158,400 cm³**.

To find out how much water remains in the container, you would subtract this volume from the initial volume of water that was in the container.

Do you need further details or have any questions? Here are some related questions to consider:

1. How does changing the radius affect the volume of a cylinder?
2. If you only use 100 glasses instead of 200, what would the total volume used be?
3. How would changing the height of the glass affect the total volume of water used?
4. What is the significance of using a precise value for \(\pi\) in calculations?
5. How can you calculate the remaining volume if the initial total volume of water in the container is known?

**Tip:** When dealing with containers, it's often useful to measure the initial volume of the container before performing any operations like removing or adding liquid.

Learn how to calculate the remaining water in a cylinder after using 200 glasses, each with a height of 7cm and a radius of 6cm. Understand the volume formula of a cylinder and its application in practical problems. Suitable for Grades 7-9.

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