the lateral area of a cone is 558 pie cm^2 the radius is 18 cm. find the slant height to the nearest tenth.

The lateral area of a cone is given by the formula L = πrs, where r is the radius and s is the slant height. Rearranging this formula to solve for s, we get:

s = L/(πr) = 558π/(π18) ≈ 103.7 cm

Therefore, the slant height is approximately 103.7 cm to the nearest tenth.