A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 30 feet, the height of the roof is 12 feet, and the height of the entire silo is 60 feet?
147,026.5 ft
135,716.8 ft
180,955.7 ft
169,646.0 ft

Answers

Answer 1

Answer:

The volume of the silo is approximately  147,026.6 ft.³.

The most correct option is  147,026.5 ft.³

Step-by-step explanation:

The given dimensions of the silo are;

The shape of the silo = Composite figure of tower and roof

The shape of the tower = Cylindrical

The shape of the roof = Cone

The radius of the base of the silo, 'r' = 30 feet

The height of the cone roof of the silo, h₁ = 12 feet

The height of the entire silo = 60 feet

For the cone roof, we have;

The volume of a cone, V = 1/3 × Base area × Height

The volume of the cone roof, V₁ = 1/3×π·r² × h₁

∴ V₁ = 1/3 × π × (30 ft.)² × 12 ft. ≈ 11,309.7336 ft.³

For the cylindrical tower, we have;

The height of the entire silo = The height of the tower + The height of the roof

∴ The height of the tower = The height of the entire silo - The height of the roof

The height of the tower, h₂ = 60 ft. - 12 ft. = 48 ft.

The volume of a cylinder = Area of base × Height

The volume of the cylindrical tower, V₂ = π·r² × h₂

∴ V₂ = π × (30 ft.)² × 48 ft. ≈ 135,716.803 ft.³

The volume of the cylindrical tower, V₂ ≈ 135,716.803 ft.³

The volume of the (entire) silo, Vₙ = V₁ + V₂

∴ Vₙ = 11,309.7336 ft.³ + 135,716.803 ft.³ = 147,026.573 ft.³

The volume of the (entire) silo, Vₙ ≈ 147,026.6 ft.³.

Answer 2

Answer:

147,026.5 ft.³

Step-by-step explanation:


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Step-by-step explanation:

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Answers

Answer:

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Here, we want to find the given arc measure

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Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Group of answer choices

Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

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Answers

Answer:

Because the P-value of 0.06 < a, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Step-by-step explanation:

Right on edge 2022

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Answers

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bit. ly/3a8Nt8n

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

I think you mean 3(x+8)², not 3(x+8)2. If you cannot type ², use ^ to mark the exponent: 3(x+8)^2.

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Step 2

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

419 or 419.37

Step-by-step explanation:

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--------------------------⭐OR⭐------------------------------

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