Home
Class 12
MATHS
From all the closed right circular close...

From all the closed right circular closed cylindrical can of volume ` 128 pi cm^3`, Find the dimension of can which has minimum surface area.

Text Solution

Verified by Experts

The correct Answer is:
h = 8 cm
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (SHORT ANSWER TYPE QUESTIONS - II)|3 Videos

  • APPLICATION OF INTEGRALS

    OSWAAL PUBLICATION|Exercise Long Answer Type Questions - II|25 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|5 Videos
OSWAAL PUBLICATION-APPLICATIONS OF DERIVATIVES-TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)
  1. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

  2. Prove that the semi-vertical angle of the right circular cone of given...

    Text Solution

    |

  3. From all the closed right circular closed cylindrical can of volume 1...

    Text Solution

    |

  4. Prove that the radius of the right circular cylinder of greatest curve...

    Text Solution

    |

  5. Prove that the height of the cylinder of maximum volume, that can be i...

    Text Solution

    |

  6. If the sum of the lengths of the hypotenues and a side of a right a...

    Text Solution

    |

  7. The sum of the perimeters of a circle and a square is k , where k is s...

    Text Solution

    |

  8. Find the area of the greatest rectangle that can be inscribed in an...

    Text Solution

    |

  9. Prove that the radius of the right circular cylinder of greatest cu...

    Text Solution

    |

  10. Show that the right-circular cone of least curved surface and given...

    Text Solution

    |

  11. Prove that the area of right-angled triangle of given hypotenuse is...

    Text Solution

    |

  12. An open box, with a square base, is to be made out of a given quant...

    Text Solution

    |

  13. Show that the height of a closed right circular cylinder of given s...

    Text Solution

    |

  14. Show that a cylinder of a given volume which is open at the top has...

    Text Solution

    |

  15. Find the point on the curve y^2= 2x which is at a minimum distance fro...

    Text Solution

    |

  16. Show that the semi-vertical angle of the cone of the maximum volume a...

    Text Solution

    |

  17. Show that all the rectangles with a given perimeter, the square has...

    Text Solution

    |

  18. A window has the shape of a rectangle surmounted by an equilateral ...

    Text Solution

    |

  19. Show that the volume of the greatest cylinder which can be inscribed i...

    Text Solution

    |

  20. Find the maximum area of an isosceles triangle inścribed in the ellip...

    Text Solution

    |