Answer:
[tex]r=4\ cm[/tex]
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
in this problem we have
[tex]V=176\pi\ cm^{3}[/tex]
[tex]h=11\ cm[/tex]
Substitute and solve for r
[tex]176\pi=\pi r^{2}(11)[/tex]
simplify
[tex]r^{2}=16[/tex]
[tex]r=4\ cm[/tex]
