Which of the following correctly calculates the lateral area of a cylinder with a base radius length of 7 in. and a height of 10 in? Use π=3.14.(1 point)

Question

Responses

1,538.3 in.2
1,538.3 in. squared

593.46 in.2
593.46 in. squared

439.6 in.2
439.6 in. squared

747.32 in.2

Answer 1

To calculate the lateral area (also known as the curved surface area) of a cylinder, you can use the formula:

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

where:

• \( r \) is the radius of the base,
• \( h \) is the height of the cylinder, and
• \( \pi \) is approximately 3.14.

Given:

• \( r = 7 \) in,
• \( h = 10 \) in,
• \( \pi \approx 3.14 \).

Now, plug in the values:

\[ \text{Lateral Area} = 2 \times 3.14 \times 7 \times 10 \]

Calculating step-by-step:

1. Calculate \( 2 \times 3.14 = 6.28 \).
2. Calculate \( 6.28 \times 7 = 43.96 \).
3. Finally, calculate \( 43.96 \times 10 = 439.6 \).

So, the lateral area of the cylinder is \( 439.6 \) in\(^2\).

The correct response is:

439.6 in. squared