The volume of a cone can be found with:
V = pi r^2 (h/3)
We already know the volume ( V = 96pi) and the radius ( r = 6 ). Plug these values in to solve for height (h):
96pi = pi (6)^2 (h/3)
96pi = pi 36 (h/3)
pi cancels since it is on both sides:
96 = 36 (h/3)
Isolate h:
96/36 = h/3
8/3 = h/3
3 • 8/3 = h
8 = h
The height is 8 meters.
Hope this helps!