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sasogeek

  • 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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  1. sasogeek
    • 2 years ago
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    the capacity is 1000cm^3

  2. sasogeek
    • 2 years ago
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    typo

  3. FoolForMath
    • 2 years ago
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    \(A = 2 \pi r h \) \[ V = \pi r^2 h = 10^3 \] substitute and then differentiate you will get your answer.

  4. sasogeek
    • 2 years ago
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    how do i get rid of h...

  5. FoolForMath
    • 2 years ago
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    I gave you so many hints .. :)

  6. sasogeek
    • 2 years ago
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    ok so \(\large h=\frac{10^3}{\pi r^2} \) i substitute this and then differentiate...

  7. FoolForMath
    • 2 years ago
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    Seems good to me.

  8. sasogeek
    • 2 years ago
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    when 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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