Designing a Grain Silo a grain silo has the shape of a right circular cylinder surmounted by a hemisphere (see the accompanying figure). Ii the silo is to have a capacity of 504π ft3, find the radius and height of the silo that requires the least amount of material to construct.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 29E
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Designing a Grain Silo a grain silo has the shape of a right circular cylinder surmounted by a hemisphere (see the accompanying figure). Ii the silo is to have a capacity of 504π ft3, find the radius and height of the silo that requires the least amount of material to construct.

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