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?

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.