What is the surface area of the cone? The slant height is 11 and the radius is 6. Use 3.14 for pi and round to the nearest tenth, if necessary. (1 point.)
The surface area of a cone can be calculated using the formula:
Surface Area = πr(r + l)
where r is the radius of the cone and l is the slant height.
Given: r = 6 and l = 11
Surface Area = 3.14 * 6 * (6 + 11)
Surface Area ≈ 3.14 * 6 * 17
Surface Area ≈ 3.14 * 102
Surface Area ≈ 320.68
The surface area of the cone is approximately 320.7.
Wrong
I apologize for the mistake.
To calculate the surface area of a cone, we need to find the lateral surface area and add it to the base area.
The lateral surface area of a cone can be calculated using the formula:
Lateral Surface Area = πrs
where r is the radius and s is the slant height.
Given: r = 6 and s = 11
Lateral Surface Area = 3.14 * 6 * 11
Lateral Surface Area ≈ 207.48
The base area of a cone can be calculated using the formula:
Base Area = πr^2
Given: r = 6
Base Area = 3.14 * 6^2
Base Area ≈ 113.04
Now, we can calculate the total surface area by adding the lateral surface area and base area:
Surface Area = Lateral Surface Area + Base Area
Surface Area ≈ 207.48 + 113.04
Surface Area ≈ 320.52
Rounded to the nearest tenth, the surface area of the cone is approximately 320.5.
WRONG WRONG
Apologies for the incorrect response.
To calculate the surface area of a cone, we need to find the lateral surface area and add it to the base area.
The lateral surface area of a cone can be calculated using the formula:
Lateral Surface Area = πrs
where r is the radius and s is the slant height.
Given: r = 6 and s = 11
Lateral Surface Area = 3.14 * 6 * 11
Lateral Surface Area = 205.92
The base area of a cone is given by the formula:
Base Area = πr^2
Given: r = 6
Base Area = 3.14 * 6^2
Base Area = 3.14 * 36
Base Area = 113.04
Now, we can calculate the total surface area by adding the lateral surface area and base area:
Surface Area = Lateral Surface Area + Base Area
Surface Area = 205.92 + 113.04
Surface Area = 318.96
The surface area of the cone is 318.96 square units.