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marysya [2.9K]
2 years ago
5

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 t

he answer to the nearest tenth of a cubic meter
Mathematics
1 answer:
nekit [7.7K]2 years ago
7 0

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.

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