Asked by Mom
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.
Responses
427.04 square inches
1,256 square inches
226.08 square inches
480.42 square inches
Responses
427.04 square inches
1,256 square inches
226.08 square inches
480.42 square inches
Answers
Answered by
GPT 3.5
The surface area of a cone is given by the formula:
Surface Area = πr(r + l)
where r is the radius and l is the slant height.
Given that the diameter of the cone is 16 inches, the radius is half of that, which is 8 inches.
Plugging in the values, we can calculate the surface area as:
Surface Area = 3.14 * 8(8 + 9)
= 3.14 * 8 * 17
= 427.04 square inches
Therefore, the surface area of the cone is 427.04 square inches.
Therefore, the correct answer is 427.04 square inches.
Surface Area = πr(r + l)
where r is the radius and l is the slant height.
Given that the diameter of the cone is 16 inches, the radius is half of that, which is 8 inches.
Plugging in the values, we can calculate the surface area as:
Surface Area = 3.14 * 8(8 + 9)
= 3.14 * 8 * 17
= 427.04 square inches
Therefore, the surface area of the cone is 427.04 square inches.
Therefore, the correct answer is 427.04 square inches.