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)Responses331.27 ft.2331.27 ft. squared27.475 ft.227.475 ft. squared29.045 ft.229.045 ft. squared4,182.48 ft.2
To find the surface area of the can, we first need to calculate the lateral surface area and then add the areas of the top and bottom.
1. Lateral surface area:
Lateral surface area = 2πrh, where r is the radius and h is the height.
Lateral surface area = 2 * 3.14 * 0.5 * 105 = 330.9 square inches
2. Top and bottom areas:
Top and bottom area = 2πr^2, where r is the radius.
Top and bottom area = 2 * 3.14 * 0.5^2 = 1.57 square inches
Now, add all the areas together to find the total surface area of the can:
Total surface area = Lateral surface area + Top and bottom areas
Total surface area = 330.9 + 1.57 = 332.47 square inches
Convert square inches to square feet:
1 square foot = 144 square inches
Total surface area in square feet = 332.47 / 144 = 2.3151 square feet or approximately 2.32 square feet
Therefore, the surface area of the can in feet is 2.32 ft².