7. 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?
A. 13.7 cm
B. 35.4 cm
C. 43.1 cm
D. 86.9 cm
The lateral area of a cone is given by the formula L=πrs, where r is the radius and s is the slant height.
In this case, we are given L=612π and r=14.2. We can solve for s:
L=πrs
612π=π(14.2)s
612=14.2s
s≈43.1
Therefore, the slant height is approximately 43.1 cm, which is option C.