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Arada [10]
2 years ago
5

Find the volume of a right circular cone that has a height of 11.7 m and a base with a circumference of 9 m. Round your answer t

o the nearest tenth of a cubic meter.

Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
4 0

The volume of the cone is one-third of the product of its base area and its height. The volume of the right circular cone is 25.1352 m³.

<h3>What is the volume of a cone?</h3>

The volume of the cone is one-third of the product of its base area and its height. It is given by the formula,

The Volume of Cone = (1/3) × π × (d/2)² × h

Given the circumference of a circle is 9 m, therefore, the radius of the base circle is,

Circumference of circle = 2πr

9 meters = 2 × π × r

r = 1.4323 m

The height of the cone is 11.7 m, while the radius of the cone is 1.4323, therefore, the volume of the cone can be written as,

The Volume of the cone = (1/3)πr²h

                                         = (1/3) × π × (1.4323²) × 11.7

                                         = 25.1352 m³

Hence, the volume of the right circular cone is 25.1352 m³.

Learn more about Volume of the cone:

brainly.com/question/1984638

#SPJ1

Dmitrij [34]2 years ago
4 0

Answer:

the volume of the right circular cone is 25.1352 m³.

Step-by-step explanation:

<u>I MISS U <3</u>

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