Evan is painting a stool that has a cylindrical seat and four rectangular prism legs. The seat has a diameter of 12 inches and a height of 2 inches. Each leg is 3 inches by 3 inches by 14 inches. How much area will Evan have to paint? Use 3.14 for pi. Show your work.
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area of circle = π r²
r = 12 / 2 = 6
area of circle = (3.14) (6)² = 113.04 inch²
circumference = π d = (3.14) (12) = 37.68 inch
area of cylindrical sides = height * circumference = 2 * 37.68 = 75.36 inch²
assume that we are only painting one side of the seat, and only 5 sides of each leg
3 * 3 = 9
3 * 14 = 42
42 * 4 + 9 = 177 inch² for each leg
total surface area of the 4 legs = 177 * 4 = 708 inch²
total painting surface area = 708 + 75.36 + 113.04 = 896.4 inch²
r = 12 / 2 = 6
area of circle = (3.14) (6)² = 113.04 inch²
circumference = π d = (3.14) (12) = 37.68 inch
area of cylindrical sides = height * circumference = 2 * 37.68 = 75.36 inch²
assume that we are only painting one side of the seat, and only 5 sides of each leg
3 * 3 = 9
3 * 14 = 42
42 * 4 + 9 = 177 inch² for each leg
total surface area of the 4 legs = 177 * 4 = 708 inch²
total painting surface area = 708 + 75.36 + 113.04 = 896.4 inch²