The lateral area of a cone is 612pi cm^2. The radius is 14.2 cm. What is the slant height to the nearest tenth of a centimeter?
13.7 cm
35.4 cm
43.1 cm
86.9 cm
The lateral area of a cone is given by L = pi*r*s, where r is the radius and s is the slant height. We are given L = 612pi cm^2 and r = 14.2 cm. Thus, we can solve for s:
L = pi*r*s
612pi = pi*14.2*s
612 = 14.2*s
s = 612/14.2
s ≈ 43.1 cm
Therefore, the slant height to the nearest tenth of a centimeter is 43.1 cm. The answer is (C).