What is the surface area of the cone?when the radius is 6 and the slant height 11 using 3.14 as pi
To find the surface area of a cone, we need to calculate the sum of the lateral surface area and the base area.
The lateral surface area of a cone can be found using the formula:
Lateral Surface Area = π * r * s
where r is the radius and s is the slant height.
In this case, r = 6 and s = 11. Plugging in these values, we get:
Lateral Surface Area = 3.14 * 6 * 11 = 205.92
The base area of a cone can be found using the formula:
Base Area = π * r^2
where r is the radius.
In this case, r = 6. Plugging it in, we get:
Base Area = 3.14 * 6^2 = 3.14 * 36 = 113.04
Now, we can find the total surface area:
Total Surface Area = Lateral Surface Area + Base Area
Total Surface Area = 205.92 + 113.04 = 318.96
Therefore, the surface area of the cone is 318.96 square units.