Find the volume of a right circular cone that has a height of 3.9 ft and a base with a circumference of 16.3 ft. Round your answer to the nearest tenth of a cubic foot.

The answer to your question is Volume = 27.5 ft³

Step-by-step explanation:

Data

Volume = ?

height = 3.9 ft

Circumference = 16.3 ft

Process

1.- Calculate the radius of the Cone

   Circumference = 2πr = 16.3 ft

-Solve for r

                                    r = 16.3/2π

                                    r = 16.3/6.28

                                    r = 2.5955 ft

2.- Calculate the volume

Volume = 1/3πr²h

-Substitution

Volume = 1/3(3.14)(2.5955)²(3.9)

-Simplification

Volume = 1/3(82.4966)

-Result

Volume = 27.5 ft³

volume of cone = 27.5 cubic feet

Step-by-step explanation:

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

h represents the height of the cone

r represents the radius of the cone

π is a constant whose value is 3.14

From the information given

Height = 3.9 ft

The formula for determining the circumference of a circle is 2πr. It the circumference of the circular base of the cone is 16.3 ft, it means that

16.3 = 2 × 3.14 × r

r = 16.3/6.28

r = 2.596

Therefore,

Volume of cone = 1/3 × 3.14 × 2.596² × 3.9

Volume = 27.5 cubic feet

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