Find the surface area of a cone with a slant height of 11 and a radius of 15. Use 3.14 for ð. Round your answer to the nearest tenth.
Recall that surface area of cone is
SA = pi*r^2 + pi*r*s
where
r = radius
s = slant height
Substituting,
SA = 3.14 * 15^2 + 3.14 * 15 * 11
SA = 706.5 + 518.1
SA = 1224.6 sq units
Hope this helps :3
To find the surface area of a cone, we need to consider two parts: the curved surface area (lateral area) and the base area.
First, let's find the lateral area of the cone. The formula for the lateral area of a cone is given by:
Lateral Area = π * radius * slant height
In this case, the radius is 15 and the slant height is 11. Plugging these values into the formula, we get:
Lateral Area = 3.14 * 15 * 11
Lateral Area ≈ 516.3 (rounded to the nearest tenth)
Next, let's find the base area of the cone. The formula for the area of a circle is given by:
Base Area = π * radius^2
In this case, the radius is 15. Plugging this value into the formula, we get:
Base Area = 3.14 * 15^2
Base Area ≈ 706.5 (rounded to the nearest tenth)
Now, to find the surface area of the cone, we need to add the lateral area and the base area together:
Surface Area = Lateral Area + Base Area
Surface Area ≈ 516.3 + 706.5
Surface Area ≈ 1222.8 (rounded to the nearest tenth)
Therefore, the surface area of the cone is approximately 1222.8 square units.