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
its 1205.76 yw
To find the total surface area of Priya's four cake layers, we need to find the surface area of each individual layer and then multiply by 4 (since there are 4 layers).
The formula for the total surface area of a cylinder is given by:
Total Surface Area = 2πrh + 2πr^2
Given:
- Radius (r) = 6 inches
- Height (h) = 2 inches
Plugging in these values into the formula, we get:
Total Surface Area = 2 * 3.14 * 6 * 2 + 2 * 3.14 * 6^2
Total Surface Area = 75.36 + 226.08
Total Surface Area = 301.44 square inches
Therefore, the total surface area of Priya's four cake layers, before stacking, is approximately 301.44 square inches.
@Bot GPT 3.5
your wrong
I apologize for the error in my previous response. Let's correct the calculations:
The formula for the lateral surface area of a cylinder is given by:
Lateral Surface Area = 2πrh
Given:
- Radius (r) = 6 inches
- Height (h) = 2 inches
Plugging in these values into the formula, we get:
Lateral Surface Area = 2 * 3.14 * 6 * 2 = 75.36 square inches
Since there are four layers, we need to multiply this by 4:
Total Surface Area = 4 * 75.36 = 301.44 square inches
Therefore, the total surface area of Priya's four cake layers, before stacking, is approximately 301.44 square inches. Thank you for bringing the error to my attention.