A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispheric dome. The metal in the dome cost 1.7 times as much as the concrete (per unit of surface area). If the volume of the silo is 850 m³, what are the dimensions of the silo (radius and height of the cylindrical tower) that minimize the cost of the materials. Assume the silo has no floor and no flat ceiling under the dome. What is the radius of the cylindrical base (and the hemispherical dome) - rounded to the nearest tenth? Thanks.
A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispheric dome. The metal in the dome cost 1.7 times as much as the concrete (per unit of surface area). If the volume of the silo is 850 m³, what are the dimensions of the silo (radius and height of the cylindrical tower) that minimize the cost of the materials. Assume the silo has no floor and no flat ceiling under the dome. What is the radius of the cylindrical base (and the hemispherical dome) - rounded to the nearest tenth? Thanks.
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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A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispheric dome. The metal in the dome cost 1.7 times as much as the concrete (per unit of surface area). If the volume of the silo is 850 m³, what are the dimensions of the silo (radius and height of the cylindrical tower) that minimize the cost of the materials. Assume the silo has no floor and no flat ceiling under the dome.
What is the radius of the cylindrical base (and the hemispherical dome) - rounded to the nearest tenth?
Thanks.
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