The diameter of the base of a cylindrical can is 5 inches. The height of the can is 7.5 inches. Determine the area of the lateral side. Round your answer to the nearest tenth. (Use 3.14 for π.) (1 point) Responses 15.7 square inches 15.7 square inches 37.5 square inches 37.5 square inches 117.8 square inches 117.8 square inches 147.2 square inches 147.2 square inches
To find the lateral surface area of the cylindrical can, we need to calculate the circumference of the base and then multiply it by the height.
1. Find the circumference of the base:
Circumference = π * diameter
Circumference = 3.14 * 5
Circumference = 15.7 inches
2. Calculate the lateral surface area:
Lateral surface area = Circumference * height
Lateral surface area = 15.7 * 7.5
Lateral surface area = 117.75 square inches
Rounded to the nearest tenth, the lateral surface area of the cylindrical can is 117.8 square inches.
Therefore, the correct answer is:
117.8 square inches