Determine the area of the lateral face of the cylinder below. Round your answer to the nearest whole number. Use 3.14 for π.

Diameter: 10 In.
Height: 3 In.

1 answer

The lateral surface area of a cylinder is calculated using the formula:
Lateral surface area = height * circumference of the base

First, we need to find the circumference of the base. Since the diameter is 10 inches, the radius is 5 inches. The circumference can be calculated using the formula:
Circumference = 2πr
Circumference = 2 * 3.14 * 5
Circumference = 31.4 inches

Now, multiply the height (3 inches) by the circumference (31.4 inches) to find the lateral surface area:
Lateral surface area = 3 * 31.4
Lateral surface area = 94.2 square inches

Rounded to the nearest whole number, the lateral surface area of the cylinder is 94 square inches.