Question

Eli is making a model castle out of clay. One of the roof peaks is in the shape of a cone with 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.(1 point)
square inches

2 answers

To find the surface area of the cone peak, we need to calculate the lateral area of the cone, which is given by the formula LA = π * r * l, where r is the radius of the base and l is the slant height.

Since the diameter of the cone is 14 inches, the radius is half of that, so r = 14/2 = 7 inches.

The slant height is given as 20 inches.

Now we can plug these values into the formula: LA = 3.14 * 7 * 20
LA ≈ 439.2 square inches.

Therefore, the surface area of the cone peak is approximately 439.2 square inches.
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