What is the surface area of the cone? Use 3.14 for pi. (1 point) Responses 863.5 square centimeters 863.5 square centimeters 2,383.26 square centimeters 2,383.26 square centimeters 1,354.125 square centimeters 1,354.125 square centimeters 3,689.5 square centimeters
Slant line= 22 cm
Diameter= 25 cm
To find the surface area of a cone, we need to find the lateral surface area (which is the curved surface area of the cone) and add it to the base area.
The formula for the lateral surface area of a cone is given by:
Lateral surface area = π * r * s
where r is the radius of the base of the cone and s is the slant height of the cone.
Given that the diameter of the cone is 25 cm, the radius is half of that, so r = 25/2 = 12.5 cm. And s = 22 cm.
Substituting these values into the formula, we get:
Lateral surface area = 3.14 * 12.5 * 22 = 865.5 square cm.
The base area of the cone is given by:
Base area = π * r^2.
Substituting the radius value, we get:
Base area = 3.14 * (12.5)^2 = 490.625 square cm.
Now, adding the lateral surface area and the base area:
Surface area = Lateral surface area + Base area = 865.5 + 490.625 = 1356.125 square cm.
Therefore, the surface area of the cone is 1,356.125 square cm.