To find the total surface area of Priya's four cake layers, we first need to calculate the surface area of one layer and then multiply it by 4.
The formula for the surface area of a cylinder is:
Surface Area = 2πrh + 2πr^2
where r is the radius and h is the height.
Plugging in the values:
Surface Area = 2 * 3.14 * 6 * 2 + 2 * 3.14 * 6^2
Surface Area = 75.36 + 226.08
Surface Area = 301.44 square inches
Since there are 4 layers, the total surface area of Priya's four cake layers before stacking is:
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.
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.
2 answers
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