Answer:
The volume of the cylinder is [tex]112\pi\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the cylinder is equal to
[tex]V=Bh[/tex]
where
B is the area of the base
h is the height of the prism
[tex]B=\pi r^{2}[/tex]
In this problem we have
[tex]r=4\ cm[/tex]
[tex]h=7\ cm[/tex]
substitute
Find the area of the base B
[tex]B=\pi (4^{2})[/tex]
[tex]B=16\pi\ cm^{2}[/tex]
substitute in the formula of the volume
[tex]V=16\pi (7)[/tex]
[tex]V=112\pi\ cm^{3}[/tex]
