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To solve this problem, we need to calculate the surface area of the cylindrical drink bottle and then determine the cost of covering that area with stickers.

### Given Information:
- Height of the bottle (h) = 22.5 cm
- Diameter of the bottle = 9.4 cm, so the radius (r) = 9.4 cm / 2 = 4.7 cm
- Cost per square centimeter = $0.02

The surface area (A) of a cylinder (without the top and bottom) is given by the formula:

\[
A = 2 \pi r h
\]

where $ r $ is the radius and $ h $ is the height.

### Step 1: Calculate the lateral surface area of the bottle.
Using the formula for the surface area:

\[
A = 2 \pi (4.7 \, \text{cm}) (22.5 \, \text{cm})
\]

### Step 2: Determine the total cost.
Once we find the surface area, we can multiply it by the cost per square centimeter:

\[
\text{Total Cost} = A \times 0.02
\]

Let me calculate this.The total cost to cover the entire cylindrical drink bottle with stickers is $13.29.

Would you like more details or have any questions?

Here are some related questions:
1. How would the cost change if the bottle had a larger radius?
2. What would be the cost if the height of the bottle were increased by 5 cm?
3. How would you calculate the total surface area if the top and bottom of the bottle were also covered?
4. If Zoe uses stickers with a discount, how would you adjust the calculation?
5. How is the surface area formula for a cylinder derived?

**Tip:** Always ensure to use the correct radius and height in surface area calculations to avoid errors in total area and cost estimations.

Zoe is using stickers to decorate her cylindrical drink bottle that is 22.5 cm high and has a diameter of 9.4 cm. If it costs Zoe $0.02 to cover one square centimetre of the bottle in stickers, how much will it cost to cover the entire drink bottle? Round to two decimal places.

Learn how to calculate the cost of covering a cylindrical drink bottle with stickers. This problem involves calculating the surface area of a cylinder (22.5 cm height, 9.4 cm diameter) and determining the total cost at $0.02 per square centimetre. Suitable for students in Grades 7-9.

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