Answer:
25.1 cubic meters
Step-by-step explanation:
The volume is given by ...
V = (1/3)Bh
where B is the area of the base.
B = πr² = π(C/(2π))² = C²/(4π)
Then the volume is ...
V = (1/3)(C²/(4π))h = C²h/(12π)
V = (9 m)²(11.7 m)/(12·3.14159) ≈ 25.1 m³
The volume of the cone is about 25.1 cubic meters.