the lateral area of a cone is 558 pie cm^2 the radius is 18 cm. find the slant height to the nearest tenth.
a) 17.1 cm
b) 16.4 cm
c) 31.0 cm
d) 11.6 cm
The lateral area of a cone is given by the formula L = πrs, where r is the radius of the base and s is the slant height. We are given that L = 558π cm^2 and r = 18 cm.
Substituting these values into the formula, we get:
558π = π(18)(s)
Dividing both sides by π(18), we get:
s = 558/18 ≈ 31.0 cm
Therefore, the slant height is approximately 31.0 cm, which means the answer is (c).