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.

Answer 1

The lateral area \( A \) of a cylinder can be calculated using the formula:

\[ A = 2\pi rh \]

where:

• \( r \) is the radius of the base,
• \( h \) is the height of the cylinder.

Given:

• Radius \( r = 7 \) in,
• Height \( h = 10 \) in,
• Use \( \pi = 3.14 \).

Now, plugging in the values:

\[ A = 2 \times 3.14 \times 7 \times 10 \]

Calculating this step by step:

1. Calculate \( 2 \times 3.14 \):

   \[ 2 \times 3.14 = 6.28 \]

2. Multiply by the radius \( 7 \):

   \[ 6.28 \times 7 = 43.96 \]

3. Finally, multiply by the height \( 10 \):

   \[ 43.96 \times 10 = 439.6 \]

So, the lateral area of the cylinder is \( 439.6 \) square inches.