To find the surface area of the can, we need to find the lateral surface area (excluding the top and bottom of the can) and add that to the area of the top and bottom of the can.
Lateral surface area = height * circumference of the base
Lateral surface area = 105 inches * (2 * 0.5 feet * π)
Lateral surface area = 105 inches * (1 feet * π)
Lateral surface area = 105 inches * 3.14
Lateral surface area = 329.7 square inches
Top and bottom surface area = 2 * π * r^2
Top and bottom surface area = 2 * 3.14 * (0.5 feet)^2
Top and bottom surface area = 2 * 3.14 * 0.25 square feet
Top and bottom surface area = 1.57 square feet
Total surface area = lateral surface area + top and bottom surface area
Total surface area = 329.7 square inches + 1.57 square feet
Total surface area = 331.27 square feet
Therefore, the can's surface area is approximately 331.27 square feet.
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 π .(1 point)
1 answer