Respuesta :
The circumference of the base of the silo that the farmer plans to build to store chicken feed is 28.8 ft.
What is a cone and a circle?
A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The volume of a cone is expressed as;
V = (1/3)πr²h
Where r is radius of the base, h is the height of the cone and π is constant pi ( π = 3.14 )
A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is expressed mathematically as;
C = 2πr
Where r is radius and π is constant pi ( π = 3.14 )
Given the data in the question;
- Volume of the cone ( silo ) V = 132ft³
- Height of the silo h = 6ft
- Radius r = ?
We substitute our values into the expression above find the radius of the base of the silo.
V = (1/3)πr²h
132ft³ = (1/3) × 3.14 × r² × 6ft
132ft³ = 6.28ft × r²
r² = 132ft³ / 6.28ft
r² = 21.0191ft²
r = √21.0191ft²
r = 4.58ft
Now, since the radius of the base of the silo is 4.58ft, the circumference of the base will be;
C = 2πr
C = 2 × 3.14 × 4.58ft
C = 28.8ft
Therefore, the circumference of the base of the silo that the farmer plans to build to store chicken feed is 28.8 ft.
Learn more on volumes here: brainly.com/question/1578538
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