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) Responses 331.27 ft.2 331.27 ft. squared 4,182.48 ft.2 4,182.48 ft. squared 29.045 ft.2 29.045 ft. squared 27.475 ft.2
To find the surface area of the paint can, we need to find the lateral surface area and the area of the two circular bases.
Lateral Surface Area:
Lateral Surface Area = 2πrh
Lateral Surface Area = 2 * 3.14 * 0.5 feet * 105 inches
Lateral Surface Area = 3.14 * 0.5 * 105
Lateral Surface Area = 164.775 square feet
Circular Base Area:
Circular Base Area = πr^2
Circular Base Area = 3.14 * (0.5)^2
Circular Base Area = 3.14 * 0.25
Circular Base Area = 0.785 square feet
Total Surface Area:
Total Surface Area = Lateral Surface Area + 2(Circular Base Area)
Total Surface Area = 164.775 + 2 * 0.785
Total Surface Area = 164.775 + 1.57
Total Surface Area = 166.345 square feet
So, the can's surface area is approximately 166.345 square feet.