The lateral area of a cone is 400pi cm^2. The radius is 10 cm. Find the slant height to the nearest tenth.
The lateral area of a cone is found using the formula LA = πrs, where r is the radius of the base and s is the slant height.
In this problem, we are given that LA = 400π cm^2 and r = 10 cm. We want to find s.
Substituting the given values into the formula, we get:
400π = π(10)s
Dividing both sides by π(10), we get:
s = 40 cm
Therefore, the slant height is 40 cm. Rounded to the nearest tenth, it is 40.0 cm.