Let's go through the problem step by step to solve it.

Problem Summary:

1. Unit 6: Item 6b

   • 200 glasses of water were used to fill a cylindrical container.
   • Each glass has a diameter of 6 cm and a height of 7 cm.
   • The volume formula for a cylinder is given as $V = \pi r^2 h$.
   • We need to calculate the total volume of water in the container.

2. Unit 6: Item 6c

   • Bubble wrap with dimensions 25 cm by 400 cm is used to wrap the cylindrical container.
   • We need to check if the bubble wrap is sufficient to cover the entire container.
   • The surface area formula for a cylinder is given as $A = 2\pi r^2 + 2\pi rh$.

Solution:

1. Volume Calculation for Each Glass

• Diameter of the glass: 6 cm, so the radius $r = \frac{6}{2} = 3 \text{ cm}$.
• Height of the glass: 7 cm.
• Volume of one glass $V = \frac{22}{7} \times 3^2 \times 7$.

Let's calculate:

$V = \frac{22}{7} \times 9 \times 7 = 198 \text{ cm}^3$

• Total volume of 200 glasses:

$V_{\text{total}} = 200 \times 198 = 39600 \text{ cm}^3$

This volume is already given as 396000 cm³, which seems off; it should be 39600 cm³ based on the calculations.

2. Checking Bubble Wrap Sufficiency

• First, find the total surface area of the container.

Since we do not have the height of the container, it should match the volume of the 200 glasses calculated:

Surface Area Calculation: To ensure the bubble wrap is sufficient, calculate the surface area of the container:

Given:

• Bubble wrap: 25 cm × 400 cm = 10000 cm²

Assuming the calculated volume matches, check with:

• Cylinder surface area formula: $A = 2\pi r^2 + 2\pi rh$.

Let me know if you need further clarifications or if the height of the container was specified elsewhere.

Would you like more details or have any questions? Here are some questions to expand on this problem:

1. What is the height of the container?
2. Should we confirm with the total volume given in the problem?
3. Are there other ways to calculate surface coverage?
4. Would you like assistance with unit conversions?
5. Would verification with precise measurements be useful?

Tip: Always double-check the measurements and calculations to ensure accuracy!