Volume of a silo

QuestionA silo, which is in the shape of a cylinder, is 16 ft in diameter and has a height of 30 ft. The silo is three-fourths full. Find the volume of the portion of the silo that is not being used for storage. Use 3.14 for π.Asked in United StatesExpert Verified SolutionAnswerExplanationCalculate the volume of the entire silo using the formula for the volume of a cylinder, $$V = πr²h$$, where $$r$$ is the radius and $$h$$ is the height.The diameter of the silo is $$16 ft$$, so the radius $$r$$ is half of that, $$r = 16/2 = 8 ft$$.The height $$h$$ is given as $$30 ft$$.Substitute the values into the formula: $$V = π × (8 ft)² × 30 ft = 3.14 × 64 ft² × 30 ft$$.Calculate the volume of the portion not being used for storage. Since the silo is three-fourths full, the unused portion is one-fourth of the total volume.The volume not used for storage is $$1/4$$ of the total volume, so we multiply the total volume by $$1/4$$.$$1/4$$ × $$3.14 × 64 ft² × 30 ft = 3.14 × 16 ft² × 30 ft = 3.14 × 480 ft³ = 1507.2 ft³$$.ExplainSimplify this solutionGauth AI Pro😉 Want a more accurate answer?Get step by step solutions within seconds.

MathGeometryGeometry questions and answersA company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: 4 ft 6A 10.5 ft Which of the following could be used to calculate the total volume of grains that can be stored in the silo? (6 points) n(61)+(24) + (10.5ft – 641)+(24) n(26)-(6ft) + n(10.5ft - 6ft)?(2Ft) n(6ft (28) + n(21°10.5t - 6t)Your solution’s ready to go!Our expert help has broken down your problem into an easy-to-learn solution you can count on.See AnswerQuestion: A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: 4 ft 6A 10.5 ft Which of the following could be used to calculate the total volume of grains that can be stored in the silo? (6 points) n(61)+(24) + (10.5ft – 641)+(24) n(26)-(6ft) + n(10.5ft - 6ft)?(2Ft) n(6ft (28) + n(21°10.5t - 6t)Show transcribed image textHere’s the best way to solve it.Here’s how to approach this questionThis AI-generated tip is based on Chegg's full solution. Sign up to see more!Identify the fact that the silo consists of both a cylindrical part and a conical part.Previous question Next questionTranscribed image text: A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: 4 ft 6A 10.5 ft Which of the following could be used to calculate the total volume of grains that can be stored in the silo? (6 points) n(61)+(24) + (10.5ft – 641)+(24) n(26)-(6ft) + n(10.5ft - 6ft)?(2Ft) n(6ft (28) + n(21°10.5t - 6t) n(2ft)(6ft) + n(2ft) (10.5ft - 6ft)

We have a grain silo that consists of a cylindrical main section and a hemispherical roof. The total volume of the silo is given as 15,000 cubic feet and the height of the cylindrical part is 30 feet. We are asked to find the radius of the silo. Show more… Fasiha Binat Zafar and 58 other Algebra educators are ready to help you. Ask a new question Algebraic Equation Setup and Solving This concept involves forming an equation by adding the volumes of individual components of a composite shape and setting it equal to a given total volume. The equation is then solved for the unknown variable (in this case, the radius), requiring skills in algebraic manipulation and solving equations. Composite Solid Analysis This concept pertains to the process of calculating the total volume of an object made up of several simple geometric shapes by summing the volumes of each individual part. This approach is useful in solving problems where an object comprises multiple sections, each with its own volume formula. Hemisphere Volume Calculation This concept involves finding the volume of a hemispherical shape, which is exactly half the volume of a sphere. Using the sphere volume formula V = (4/3)?r³, the hemisphere volume is calculated as V = (2/3)?r³. It is crucial when the object has a rounded section that contributes to its overall volume. Cylinder Volume Calculation This concept involves determining the volume of a cylindrical shape by multiplying the area of its circular base by its height, using the formula V = ?r²h. It is essential for understanding how the volume of a cylindrical section contributes to the total volume of a composite object.