To find the total surface area of Priya's four cake layers, we first need to find the surface area of one cake layer and then multiply it by 4 since there are four layers.
The formula for the surface area of a cylinder is:
Surface Area = 2πrh + 2πr^2
where r is the radius of the cylinder and h is the height of the cylinder.
Given that the radius (r) is 6 inches and the height (h) is 2 inches for each cake layer, we can plug these values into the formula:
Surface Area = 2π(6)(2) + 2π(6)^2
Surface Area = 2π(12) + 2π(36)
Surface Area = 24π + 72π
Surface Area = 96π
Therefore, the surface area of one cake layer is 96π square inches.
To find the total surface area of all four cake layers, we multiply the surface area of one cake layer by 4:
Total Surface Area = 4 * 96π
Total Surface Area = 384π
Therefore, the total surface area of Priya's four cake layers, before stacking, is 384π square inches.
Priya is making a four layer 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?
1 answer