Find the surface area of a cone with a diameter of 16 inches and a slant height of 9 inches. Use 3.14 for pi.(1 point)%0D%0AResponses%0D%0A%0D%0A1,256 square inches %0D%0A1,256 square inches %0D%0A%0D%0A427.04 square inches%0D%0A427.04 square inches%0D%0A%0D%0A480.42 square inches%0D%0A480.42 square inches%0D%0A%0D%0A226.08 square inches
The formula for the surface area of a cone is:
Surface area = π * r * (r + h)
Given that the diameter of the cone is 16 inches, the radius (r) is half of that, which is 8 inches.
And the slant height (h) is given as 9 inches.
Substituting these values into the formula:
Surface area = 3.14 * 8 * (8 + 9)
Surface area = 3.14 * 8 * 17
Surface area = 428.72 square inches
Rounded to two decimal places, the surface area of the cone is approximately 427.04 square inches.