To find the lateral surface area and the total surface area of a cone, we need to use the following formulas:

1. Lateral Surface Area of a cone = π * r * l
2. Total Surface Area of a cone = π * r * (r + l)

Given:
- Diameter = 6m, so the radius (r) = Diameter/2 = 6/2 = 3m
- Slant height (l) = 11m
- π = 3.14

Let's calculate:

1. Lateral Surface Area = π * r * l = 3.14 * 3m * 11m = 103.62 m²

2. Total Surface Area = π * r * (r + l) = 3.14 * 3m * (3m + 11m) = 3.14 * 3m * 14m = 131.88 m²

So, the lateral surface area of the cone is 103.62 square meters and the total surface area is 131.88 square meters.

Question

To find the lateral surface area and the total surface area of a cone, we need to use the following formulas:

1. Lateral Surface Area of a cone = π * r * l
2. Total Surface Area of a cone = π * r * (r + l)

Given:
- Diameter = 6m, so the radius (r) = Diameter/2 = 6/2 = 3m
- Slant height (l) = 11m
- π = 3.14

Let's calculate:

1. Lateral Surface Area = π * r * l = 3.14 * 3m * 11m = 103.62 m²

2. Total Surface Area = π * r * (r + l) = 3.14 * 3m * (3m + 11m) = 3.14 * 3m * 14m = 131.88 m²

So, the lateral surface area of the cone is 103.62 square meters and the total surface area is 131.88 square meters.

Knowee AI · Accepted Answer

To find the lateral surface area and the total surface area of a cone, we need to use the following formulas:

1. Lateral Surface Area of a cone = π * r * l
2. Total Surface Area of a cone = π * r * (r + l)

Given:
- Diameter = 6m, so the radius (r) = Diameter/2 = 6/2 = 3m
- Slant height (l) = 11m
- π = 3.14

Let's calculate:

1. Lateral Surface Area = π * r * l = 3.14 * 3m * 11m = 103.62 m²

2. Total Surface Area = π * r * (r + l) = 3.14 * 3m * (3m + 11m) = 3.14 * 3m * 14m = 131.88 m²

So, the lateral surface area of the cone is 103.62 square meters and the total surface area is 131.88 square meters.

Find the lateral surface area and surface area of a cone with a base diameter of 6m and a slant height of 11m.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit in your answers.