Priya is making a four-layered wedding cake. Her cake is in the shape of a cylinder with a radius of 6 inches. Each layer has a height of 2 inches. What is the total surface area of Priya’s four cake layers, before stacking? Use 3.14 for π and round to the nearest hundredth.(1 point) in.2
The surface area of a cylinder is given by the formula: 2πrh + 2πr^2, where r is the radius and h is the height.
For Priya's cake, the radius is 6 inches and the height is 2 inches for each layer. Plugging these values into the formula:
Surface area of one layer = 2(3.14)(6)(2) + 2(3.14)(6)^2
Surface area of one layer = 75.36 + 226.08
Surface area of one layer = 301.44 in^2
Since Priya has four layers, the total surface area of all four layers would be:
Total surface area = 4(301.44)
Total surface area = 1205.76 in^2
Therefore, the total surface area of Priya's four cake layers before stacking is 1205.76 square inches.