Oriya is making a four layered wedding cake her cake is I the shape of a cylinder with a radius of 6inches each layer has a height of 2inches what is the total surface area of priyas four cake layers before stacking use 3.14 for and round to the nearest hundredths
To find the total surface area of Priya's four cake layers, we need to find the surface area of one layer and then multiply that by 4 since there are four layers.
The formula for the surface area of a cylinder is:
Surface Area = 2πr(r + h)
Given that the radius, r, is 6 inches and the height, h, is 2 inches, we can plug these values into the formula to find the surface area of one layer:
Surface Area = 2 * 3.14 * 6(6 + 2)
Surface Area = 2 * 3.14 * 6(8)
Surface Area = 2 * 3.14 * 48
Surface Area = 301.44 square inches
Now, we multiply this by 4 to find the total surface area of all four layers:
Total Surface Area = 301.44 * 4
Total Surface Area = 1205.76 square inches
Therefore, the total surface area of Priya's four cake layers before stacking is 1205.76 square inches.