Question
a cone has a diameter of 14 inches and a slant height of 20 inches. what is the surface area of the cone peak? round your answer to the nearest hundredth use 3.14 for pi.
Answers
GPT 3.5
To find the surface area of the cone's peak, we need to find the curved surface area of the cone. The formula for the curved surface area of a cone is given by:
CSA = π * r * l
where CSA is the curved surface area, r is the radius of the cone's base, and l is the slant height of the cone.
Given that the diameter of the cone is 14 inches, the radius (r) can be found by dividing the diameter by 2:
r = 14 inches / 2 = 7 inches
Now, we can substitute the known values into the formula:
CSA = 3.14 * 7 inches * 20 inches
CSA = 439.2 square inches
Therefore, the surface area of the cone's peak is approximately 439.2 square inches.
CSA = π * r * l
where CSA is the curved surface area, r is the radius of the cone's base, and l is the slant height of the cone.
Given that the diameter of the cone is 14 inches, the radius (r) can be found by dividing the diameter by 2:
r = 14 inches / 2 = 7 inches
Now, we can substitute the known values into the formula:
CSA = 3.14 * 7 inches * 20 inches
CSA = 439.2 square inches
Therefore, the surface area of the cone's peak is approximately 439.2 square inches.