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 2 years ago
A manufacturing company makes open cylindrical containers each with a capacity of 100cm^3. if the radius of the cylinders is r cm, find the value for which the area of the metal sheet required is minimum.
 2 years ago
A manufacturing company makes open cylindrical containers each with a capacity of 100cm^3. if the radius of the cylinders is r cm, find the value for which the area of the metal sheet required is minimum.

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sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0the capacity is 1000cm^3

FoolForMath
 2 years ago
Best ResponseYou've already chosen the best response.0\(A = 2 \pi r h \) \[ V = \pi r^2 h = 10^3 \] substitute and then differentiate you will get your answer.

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0how do i get rid of h...

FoolForMath
 2 years ago
Best ResponseYou've already chosen the best response.0I gave you so many hints .. :)

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0ok so \(\large h=\frac{10^3}{\pi r^2} \) i substitute this and then differentiate...

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0when i substitute, i end up with \(\large A=\frac{2000}{r} \) ... how do i differentiate this and still get a value of r ?
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