Answer: The lateral area of a cone is given by the formula:
Lateral area = πrℓ
where r is the radius of the circular base, and ℓ is the slant height of the cone.
In this case, the radius is 2.9 inches and the slant height is 1.8 inches. So we can substitute these values into the formula to get:
Lateral area = π(2.9)(1.8) ≈ 16.47 square inches
Rounding to the nearest tenth, we get:
Lateral area ≈ 16.5 square inches
Therefore, the approximate lateral area of the cone is 16.5 square inches.
Explanation: