Answer:
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
