Home
Class 11
MATHS
An open cylinder of given surface will h...

An open cylinder of given surface will have maximum volume if radius =

A

height

B

`(1)/(2)("height")`

C

2 (height)

D

3 (height)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|6 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (MATRIX MATCHING TYPE QUESTIONS)|3 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (INTEGER TYPE QUESTIONS)|3 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

Semivertical angle of a cone of given total surface area of maximum volume value is

Show that a closed cylinder of a given volume will have its least surface when its height is equal to its diameter.

A closed clylinder of given volume will have least surface when height (h) and radius (r) are related as

Find the volume and surface area of a sphere of radius 42 cm.

The height of the cylinder of maximum volume which can be inscribed in a sphere of radius 'r' is

The height of the cone of maximum volume inscribed in a sphere of radius R is

Height of the cylinder of maximum volume that can be inscribed in a sphere of radius 12 cm is

AAKASH SERIES-MAXIMA AND MINIMA -LECTURE SHEET (EXERCISE -II) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The least perimeter of an isosceles triangle in which a circle of radi...

    Text Solution

    |

  2. The least perimeter of a right circular cylinder of maximum volume w...

    Text Solution

    |

  3. An open cylinder of given surface will have maximum volume if radius =

    Text Solution

    |

  4. The voluime of the largest possible right circular cylinder that can b...

    Text Solution

    |

  5. The volume of the greatest cylinder which can be inscribed in a cone o...

    Text Solution

    |

  6. An open recangular tank with a square base and 32 c.c of capacity has ...

    Text Solution

    |

  7. A box is made from a piece of metal sheet 24 cms square by cutting equ...

    Text Solution

    |

  8. An open tank is to be constructed with a square base and vertical side...

    Text Solution

    |

  9. A bell tent consists of a conical portion above a cylinder portion nea...

    Text Solution

    |

  10. A rectangle is inscribed in a equilaternal triangle of side length 2a ...

    Text Solution

    |

  11. Tangents are drawn to the circle x^(2) + y^(2) = 16 from the point ...

    Text Solution

    |

  12. The laregest area of a trapezium inscibed in a semi - circle of radius...

    Text Solution

    |

  13. In a DeltaABC, if angleB=90^(@) and a+b=4 and are of triangle is maxi...

    Text Solution

    |

  14. The maximum area of the rectangle whose sides pass through the vertic...

    Text Solution

    |

  15. A straight line through the point (3,4) in the first quadrant meets th...

    Text Solution

    |

  16. Through the point (2,3) ,a straight line is drawn making, positive int...

    Text Solution

    |

  17. The least intercept made by the coordinate axes on a tangent to the el...

    Text Solution

    |

  18. A rod AB os length 10 cms slides between two perpendicular lines OX ,O...

    Text Solution

    |

  19. The maximum distance of the the normal to the ellipse (x^(2))/(9)+(y^...

    Text Solution

    |

  20. The area of the rectangle of maximum area inscribed in the ellipse (x^...

    Text Solution

    |