The surface area of a cone is 1130 ft2. the radius is 10 ft. what is the lateral area of the cone to the nearest whole number? use 3.14 for π

Lateral surface area is about 815.7 ft² .

Step-by-step explanation:

Given : The surface area of a cone is 1130 ft2. The radius is 10 ft.

To find : What is the lateral area of the cone to the nearest whole number.

Solution : We have given that

surface area of a cone = 1130 ft².

Radius of cone = 10 ft.

Surface area of cone  = area of base + lateral surface area +

Surface area of cone  = .

Plugging the values

1130 =  .

1130 = 314 + 31.4 * slant height.

On subtracting 314 from both sides

1130 - 314 = 31.4 * slant height.

816 = 31.4 * slant height

On dividing by 31.4 both sides

= slant height

25.98 ft = slant height

Now lateral surface area =  .

Plugging the values of radius and slant height

Lateral surface area =  .

Lateral surface area = 815.772 ft²

about 815.7 ft²

Therefore, Lateral surface area is about 815.7 ft² .