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

Answer: 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