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To find the lateral surface area of a cylindrical container, we use the formula:

\[
\text{Lateral Surface Area} = 2 \pi r h
\]

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

From the image:
- The radius \( r = 1.2 \) inches,
- The height \( h = 4 \) inches.

Let's plug in these values:

\[
\text{Lateral Surface Area} = 2 \pi (1.2) (4)
\]

Calculating:

\[
\text{Lateral Surface Area} = 2 \times 3.1416 \times 1.2 \times 4
\]
\[
\text{Lateral Surface Area} \approx 30.16 \, \text{in}^2
\]

Thus, the closest answer is **B. 30.16 in²**.

Would you like further details on this calculation?

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Here are 5 related questions for further practice:

1. How do you calculate the total surface area of a cylinder?
2. If the radius of the cylinder were doubled, how would the lateral surface area change?
3. How is the volume of a cylinder calculated?
4. What is the formula for the surface area of a cylinder including the top and bottom bases?
5. How would the lateral surface area change if only the height were doubled?

**Tip:** Remember that for a cylinder, the lateral surface area depends directly on both the radius and the height. Doubling either will double the lateral surface area.

Nelly has a cylindrical container to keep his toothpicks. Which measurement is closest to the lateral surface area of the container in square inches?

Learn how to find the lateral surface area of a cylindrical container with radius 1.2 inches and height 4 inches. This geometry problem includes key concepts in surface area calculation and uses the formula 2πrh. Suitable for middle school students.

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