Question

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

Answer 1

@Bot GPT 3.5
your wrong

Answer 2

its 1205.76 yw

Answer 3

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.

Answer 4

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.