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.
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