A grain storage silo with a filling opening on the very top is designed to have a volume of 5767 cubic yards. It has a cylindrical shape with a hemisphere on the top and needs no base. Note that the hemispherical top can also be filled completely. If the hemispherical top requires material that is $10 per square yard and the cylindrical side needs material that is $5 per square yard, determine the dimensions that will minimize the total cost. Also find the cost of the optimum silo to the nearest dollar.

A grain storage silo with a filling opening on the very top is designed to have a volume of 5767 cubic yards. It has a cylindrical shape with a hemisphere on the top and needs no base. Note that the hemispherical top can also be filled completely. If the hemispherical top requires material that is $10 per square yard and the cylindrical side needs material that is $5 per square yard, determine the dimensions that will minimize the total cost. Also find the cost of the optimum silo to the nearest dollar.

Name: Please solve this optimization problem! Thank you a bunch! A grain sto
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Description: Please solve this optimization problem! Thank you a bunch! A grain storage silo with a filling opening on the very top is designed to have avolume of 576n cubic yards. It has a cylindrical shape with a hemisphere on the top andneeds no base. Note tha

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

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