The lateral area of a cone is given by $L=\pi rs$, where $r$ is the radius and $s$ is the slant height. In this problem, we are given that $L=559\pi$ and $r=16.8$. We want to find $s$.
Substituting the given values, we have $559\pi = \pi (16.8)s$. Dividing both sides by $\pi$ gives $559=16.8s$. Solving for $s$, we get $s=\frac{559}{16.8}\approx 33.2$.
Rounding to the nearest tenth of a centimeter, we get $\boxed{\textbf{(D) }33.3\text{ cm}}$.
The lateral area of a cone is $559 pi the radius is 16.8 CM what is the slant height to the nearest tenth of a centimeter
A 8.4 cm
B 12.9 cm
C 27.7 cm
D 33.3 cm
1 answer
1 answer