7. A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed? 6 It 15 It​
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nuhulawal20 5 months ago
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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: brainacademy.pro/question/1578538

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