Answer:
The exact volume is [tex]V=125\pi\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a cone is equal to
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
where
r is the radius
h is the height
we have
[tex]r=5\ cm[/tex]
[tex]h=15\ cm[/tex]
substitute
[tex]V=\frac{1}{3}\pi (5)^{2}(15)[/tex]
[tex]V=125\pi\ cm^{3}[/tex]