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.
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.
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