Maximize the Volume of a Tower (cylinder capped by hemisphere)

Jun 21st, 2015
Price: $5 USD

Question description

You will have a total materials budget of $200,000. What are the dimensions of the tower (radius and height of the cylinder) which will maximize the volume enclosed by the tower? This tower is to be a cylinder capped by a hemisphere. Please explain each step. 

Floor $10.00/sq ft 

Wall $15.00/sq ft 

Roof $20.00/sq ft

Tutor Answer

(Top Tutor) jwanambisi
School: Duke University

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