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

439.6 in.2
439.6 in. squared

593.46 in.2
593.46 in. squared

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

747.32 in.2
747.32 in. squared

Answer 1

To calculate the lateral 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,
• \( \pi \) is approximately 3.14.

Given:

• Radius \( r = 7 \) in,
• Height \( h = 10 \) in.

Substituting these values into the formula:

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

Calculating step-by-step:

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

Thus, the lateral area of the cylinder is \( 439.6 , \text{in}^2 \).

So, the correct answer is:

439.6 in.²