To find the surface area of the can, we first need to find the lateral surface area and the area of the two circular ends.
The lateral surface area formula for a cylinder is: Lateral Surface Area = 2πrh , where r is the radius and h is the height.
Given that the radius is 0.5 feet and the height is 105 inches (which is 8.75 feet), we can plug the values into the formula:
Lateral Surface Area = 2 * 3.14 * 0.5 * 8.75 = 27.475 ft²
The area of the circular ends is calculated using the formula for the area of a circle: Area = πr²
Area of one circular end = 3.14 * (0.5)² = 0.785 ft²
Since there are two circular ends, the total area of the two ends is 2 * 0.785 = 1.57 ft²
To find the total surface area, add the lateral surface area and the area of the two ends:
Total Surface Area = Lateral Surface Area + 2(Area of one circular end)
Total Surface Area = 27.475 + 1.57
Total Surface Area = 29.045 ft²
Therefore, the can's surface area in feet is 29.045 ft².
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 27.475 ft.2 27.475 ft. squared 4,182.48 ft.2 4,182.48 ft. squared 29.045 ft.2 29.045 ft. squared 331.27 ft.2
1 answer