A silo (base not included) is to be constructed in the form of a cylider surmounted by a hemisphere. The cost of construction per square unit of the surface area is 6 times as great for the hemisphere as it is for the cylindrical sidewall. Determine the dimensions to be used if the volume is fixed at 12000 cubic units and the cost of construction is to be kept to a minimum. Neglect the thickness of the silo and waste in construction. What is the function of the cost of the silo, C, in terms of the radius, r? C= ________ (type an expression, type an exact answer, using pi as needed) The radius of the cylindrical base (and of the hemisphere) is ___ ft. (round to nearest tenth) The height of the cylindrical base is ___ ft. (round to nearest tenth)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
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Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
A silo (base not included) is to be constructed in the form of a cylider surmounted by a hemisphere. The cost of construction per square unit of the surface area is 6 times as great for the hemisphere as it is for the cylindrical sidewall. Determine the dimensions to be used if the volume is fixed at 12000 cubic units and the cost of construction is to be kept to a minimum. Neglect the thickness of the silo and waste in construction.
What is the function of the cost of the silo, C, in terms of the radius, r?
C= ________ (type an expression, type an exact answer, using pi as needed)
The radius of the cylindrical base (and of the hemisphere) is ___ ft. (round to nearest tenth)
The height of the cylindrical base is ___ ft. (round to nearest tenth)
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