Respuesta :

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]