What is the volume of a right circular cone that has a height of 11.7meters and a base with a circumference of 9 meters? Round the answer to the nearest tenth of a cubic meter

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.