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

593.46 in.2
593.46 in. squared

439.6 in.2
439.6 in. squared

747.32 in.2
747.32 in. squared

1,538.3 in.2

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 and \( h \) is the height.

Given:

• Radius \( r = 7 \) in
• Height \( h = 10 \) in
• Using \( \pi = 3.14 \)

Now, substituting the values into the formula:

\[ \text{Lateral Area} = 2 \times 3.14 \times 7 \times 10 \] \[ = 2 \times 3.14 \times 70 \] \[ = 2 \times 219.8 \] \[ = 439.6 , \text{in}^2 \]

Thus, the correct answer is:

439.6 in.²