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To find the surface area of a cone, you can use the formula:
Surface Area = πr^2 + πr * slant height
First, we need to find the radius of the cone peak. The radius is half the diameter, so:
Radius = 14 inches / 2 = 7 inches
Now we can calculate the surface area:
Surface Area = 3.14 * 7^2 + 3.14 * 7 * 20
Surface Area = 3.14 * 49 + 3.14 * 140
Surface Area = 153.86 + 439.6
Surface Area = 593.46 square inches
Therefore, the surface area of the cone peak is approximately 593.46 square inches.