For this case we have that by definition, the volume of a cone is given by:
[tex]V = \frac {\pi * r ^ 2 * h} {3}[/tex]
Where:
h: It's the height
r: It is the cone radius
According to the data we have:
[tex]h = 9cm\\r = 7.5cm[/tex]
Substituting:
[tex]V = \frac {\pi * (7.5) ^ 2 * 9} {3}\\V = \frac {\pi * 56.25 * 9} {3}\\V = 168.75\pi[/tex]
Thus, the volume of the cone is [tex]168.75 \pi \ cm ^ 3[/tex]
Answer:
Option C
