Answer:
18 m
Explanation:
In the given figure we have two sphere one has volume [tex]V=288\pi[/tex] and other has volume [tex]V=36\pi[/tex]
The greatest distance between the one point of the sphere to other sphere will be the sum of diameter of both sphere
We know that volume of the sphere [tex]V=\frac{4}{3}\pi r^3[/tex]
So for larger sphere [tex]288\pi =\frac{4}{3}\pi r^3[/tex]
r = 6 m, so diameter d =6×2=12 m
Now for smaller sphere [tex]36\pi =\frac{4}{3}\pi r^3[/tex]
r = 3 m , so diameter d=3×2=6 m
So the greatest distance between two sphere is 6+12=18 m
