First, we need to calculate the lateral surface area of the can, excluding the top and bottom. The formula for the lateral surface area of a cylinder is 2 * π * radius * height.
Height = 105 inches = 105/12 = 8.75 feet
Radius = 0.5 feet
Lateral surface area = 2 * 3.14 * 0.5 * 8.75 = 27.475 feet squared
Next, we need to calculate the surface area of the top and bottom of the can. The formula for the surface area of the top and bottom of a cylinder is 2 * π * radius^2.
Top and bottom surface area = 2 * 3.14 * 0.5^2 = 1.57 feet squared
Therefore, the total surface area of the can is the sum of the lateral surface area and the top and bottom surface area:
Total surface area = Lateral surface area + Top and bottom surface area = 27.475 + 1.57 = 29.045 feet squared
Therefore, the correct answer is B. 29.045 ft. squared.
Mikayla has a can of paint that has a height of 105 inches and a radius of 0.5 feet. What is the can's surface area in feet? Use 3.14 for PI.
A. 27.475 ft. squared
B. 29.045 ft. squared
C. 331.27 ft. squared
D. 4,182.48 ft. squared
1 answer