Answer:
[tex]\large\boxed{V=640.6\ m^3}[/tex]
Step-by-step explanation:
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r- radius
H - height
We have H = 17m and r = 6m. Substitute:
[tex]V=\dfrac{1}{3}\pi(6^2)(17)=\dfrac{1}{3}\pi(36)(17)=\pi(12)(17)=204\pi\ m^3[/tex]
[tex]\pi\approx3.14\\\\V\approx204(3.14)=640.56\ m^3\approx640.6\ m^3[/tex]