Is the bubble wrap used enough to wrap the entire water dispenser?
(Use 𝜋 = 22/7 , Formula for surface area of a cylinder = 2𝜋𝑟² + 2𝜋𝑟ℎ)  radius of the water dispenser is 12.5 and height is 400

To determine if the bubble wrap is enough to cover the entire water dispenser, we need to calculate the total surface area of the water dispenser using the formula for the surface area of a cylinder:

\[
A = 2\pi r^2 + 2\pi r h
\]

Where:
- \( r \) is the radius of the water dispenser = 12.5 cm,
- \( h \) is the height of the water dispenser = 400 cm,
- \( \pi \) is given as \( \frac{22}{7} \).

### Step 1: Calculate the area of the two circular ends
\[
\text{Area of two circular ends} = 2 \pi r^2
= 2 \times \frac{22}{7} \times (12.5)^2
\]

### Step 2: Calculate the lateral surface area
\[
\text{Lateral surface area} = 2 \pi r h
= 2 \times \frac{22}{7} \times 12.5 \times 400
\]

Let me calculate this for you.The total surface area of the water dispenser is approximately \( 32,410.71 \, \text{cm}^2 \).

To determine if the bubble wrap is enough to cover the entire water dispenser, you need to compare this area with the amount of bubble wrap available.

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the thickness of the bubble wrap used?
2. How much bubble wrap is available?
3. Could the shape of the dispenser impact how the bubble wrap fits?
4. Does the dispenser have any handles or irregular parts?
5. Would the material stretch or contract when applied?

**Tip:** Always account for slight excess when measuring materials to ensure full coverage!

Learn how to calculate the surface area of a water dispenser using the cylinder surface area formula. Given a radius of 12.5 cm and a height of 400 cm, find out if bubble wrap is enough to cover the entire dispenser.

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