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 the cone, we need to calculate the lateral area and the base area separately.
The lateral area of a cone is given by the formula L = πrL, where r is the radius and L is the slant line of the cone. In this case, the radius is half of the diameter, so r = 25 / 2 = 12.5 cm. Therefore, the lateral area is L = 3.14 * 12.5 * 22 = 863.5 square centimeters.
The base area of a cone is given by the formula B = πr^2. In this case, the radius is 12.5 cm. Therefore, the base area is B = 3.14 * 12.5^2 = 490.625 square centimeters.
The surface area of the cone is the sum of the lateral area and the base area, so SA = L + B = 863.5 + 490.625 = 1354.125 square centimeters.
Therefore, the correct answer is 1,354.125 square centimeters.