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 that the base radius \( r = 7 \) inches and height \( h = 10 \) inches, and using \( \pi \approx 3.14 \):

1. Substitute the values into the formula:

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

2. Perform the multiplication:

\[ A = 2 \times 3.14 \times 7 = 43.96 \] \[ A = 43.96 \times 10 = 439.6 \]

Therefore, the lateral area of the cylinder is:

\[ A \approx 439.6 \text{ square inches} \]