plve the following related rates and optimization problems. We want to build a greenhouse that has a half-cylinder roof of radius r and height r mounted horizontally on top of four rectangular walls of height h as shown in the figure. We have 200n m² of plastic sheet to be used in the construction of this structure. Find the value of r for the greenhouse with the largest possible volume we can build.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 40A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN Cast iron, 312...
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Solve the following related rates and optimization problems.
1. We want to build a greenhouse that has a half-cylinder roof of radius r and height r mounted horizontally on top of four rectangular walls
of height h as shown in the figure. We have 200n m² of plastic sheet to be used in the construction of this structure. Find the value of r for the
greenhouse with the largest possible volume we can build.
Transcribed Image Text:Solve the following related rates and optimization problems. 1. We want to build a greenhouse that has a half-cylinder roof of radius r and height r mounted horizontally on top of four rectangular walls of height h as shown in the figure. We have 200n m² of plastic sheet to be used in the construction of this structure. Find the value of r for the greenhouse with the largest possible volume we can build.
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