To find the surface area of a cone, we need to find 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 * radius * slant height
In this case, the radius is 10 inches and the slant height is 15 inches.
Lateral surface area = 3.14 * 10 * 15 = 471 square inches.
The base area of a cone can be found using the formula:
Base area = π * radius^2
In this case, the radius is 10 inches.
Base area = 3.14 * 10^2 = 3.14 * 100 = 314 square inches.
The surface area of the cone can be found by adding the lateral surface area and the base area:
Surface area = Lateral surface area + Base area = 471 + 314 = 785 square inches.
Therefore, the surface area of the cone is 785 square inches.
What is the surface area, in square inches, of a cone with a radius of 10 inches and a slant height of 15 inches? Use 3.14 for pi.(1 point)
Responses
1,177.5 square inches
1,177.5 square inches
785 square inches
785 square inches
2,198 square inches
2,198 square inches
471 square inches
1 answer
1 answer