Question

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

Answer 1

25.1 cubic meters

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.