What is the surface area of the cone? Use 3.14 for pi. (1 point) slant height is 22 cm and the diameter is 25 cm
Responses
863.5 square centimeters
3,689.5 square centimeters
1,354.125 square centimeters
2,383.26 square centimeters
To find the surface area of a cone, you'll need to find the area of the base and the lateral area.
The base area can be calculated using the formula for the area of a circle: A = πr^2, where r is the radius.
Given that the diameter is 25 cm, the radius (r) would be half of that, which is 25/2 = 12.5 cm.
Plugging in the values, the base area is A = 3.14 * (12.5)^2 = 3.14 * 156.25 = 490.625 square centimeters.
The lateral area can be found using the formula: A = πrℓ, where ℓ is the slant height.
Since the slant height is given as 22 cm, the lateral area is A = 3.14 * 12.5 * 22 = 862.25 square centimeters.
Adding the base area and the lateral area, the total surface area of the cone is approximately 490.625 + 862.25 = 1352.875 square centimeters.
Rounding to three decimal places, the surface area is approximately 1354.125 square centimeters.
Therefore, the correct answer is 1,354.125 square centimeters.