Answer:
The radius is 4 cm.
Step-by-step explanation:
The volume of the cone is found using the volume formula for a cone [tex]V=\frac{1}{3}\pi r^2h[/tex].
Substitute V = 218 and h = 13.
[tex]V = \frac{1}{3}\pi r^2h\\218 = \frac{1}{3}\pi (r^2)(13)\\\frac{218}{13}=\frac{1}{3}\pi r^2\\\frac{16.769}{3.14} = \frac{1}{3} r^2 \\5.34 * 3= r^2 \\ 16.02 = r^2 \\ 4 = r [/tex]