The bottom layer has a diameter of 24 cm. The middle layer has a diameter of 21.5 cm
The top layer has a diameter of 19 cm
The surface of the cake is frosted.
Calculate the surface area (to the nearest square centimeter) of the cake when it is frosted, The answer has to be 2174cm²
To calculate the surface area of the frosted cake, we need to calculate the surface area of each layer individually and then add them together.
Surface area of the bottom layer:
Radius = 24 cm / 2 = 12 cm
Surface area = π * (12 cm)^2 = 452.39 cm²
Surface area of the middle layer:
Radius = 21.5 cm / 2 = 10.75 cm
Surface area = π * (10.75 cm)^2 = 362.86 cm²
Surface area of the top layer:
Radius = 19 cm / 2 = 9.5 cm
Surface area = π * (9.5 cm)^2 = 283.53 cm²
Total surface area of the frosted cake:
452.39 cm² + 362.86 cm² + 283.53 cm² = 1098.78 cm²
Therefore, the surface area of the frosted cake is approximately 1098.78 cm², which when rounded to the nearest square centimeter is 1099 cm².