Answer:
The radius of the sphere is [tex]6\ cm[/tex]
Step-by-step explanation:
we know that
The volume of a sphere is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
In this problem we have
[tex]V=288\pi\ cm^{3}[/tex]
substitute and solve for r
[tex]288\pi=\frac{4}{3}\pi r^{3}[/tex]
simplify
[tex]288*3/4=r^{3}[/tex]
[tex]r^{3}=216[/tex]
[tex]r=6\ cm[/tex]
