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A wind tunnel is formed of a half cylinder with a rectangular base a.pdf

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A wind tunnel is formed of a half cylinder with a rectangular base a.pdf
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A wind tunnel is formed of a half cylinder with a rectangular base a.pdf

24 de Mar de 2023••
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A wind tunnel is formed of a half cylinder with a rectangular base and semicircular ends. The volume must be 7500 ft3 and the curved roof costs $5 per ft2 to build. Find an expression that represents the (total) cost to build the curved roof as a function of the radius r of the semicircular end. Solution pi*r^2*l/2=7500 l=15000/pi*r^2 Area=pi*r*l cost=pi*r*15000*5/pi*r^2 =75000/r $.

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A wind tunnel is formed of a half cylinder with a rectangular base a.pdf

  1. A wind tunnel is formed of a half cylinder with a rectangular base and semicircular ends. The volume must be 7500 ft3 and the curved roof costs $5 per ft2 to build. Find an expression that represents the (total) cost to build the curved roof as a function of the radius r of the semicircular end. Solution pi*r^2*l/2=7500 l=15000/pi*r^2 Area=pi*r*l cost=pi*r*15000*5/pi*r^2 =75000/r $
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