Answer:
V = 417.8 ft³
Explanation:
The volume (V) of a right circular cone can be calculated as follows:
[tex] V = \frac{\pi*r^{2}*h}{3} [/tex]
Where:
r: is the radius of the circular cone
h: is the height of the circular cone = 19.7 ft
The radius of the circular cone can be found using the diameter (d) of the cone's base:
[tex] r = \frac{d}{2} = \frac{9}{2} = 4.5 ft [/tex]
Now, the volume is:
[tex] V = \frac{\pi*r^{2}*h}{3} = \frac{\pi*(4.5 ft)^{2}*19.7 ft}{3} = 417.8 ft^{3} [/tex]
Therefore, the volume of a right circular cone is 417.8 ft³.
I hope it helps you!
