Home
Class 12
MATHS
Show that when the curved surface of a i...

Show that when the curved surface of a is right circular cylinder inscribed in a sphere of radius R is maximum , then the height of the cylinder is `sqrt(2R)`.

A

`sqrtR`

B

`sqrt(10)R`

C

`sqrt2 R`

D

R

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If the curved surface of right circular cylinder inscribed in a sphere of radius r is maximum. Show that the height of the cylinder is sqrt(2) r.

the curved surface area of a right circular cylinder is …….. sq. units.

The maximum volume of the right circular cone that can be inscribed in a sphere of radius R

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

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. A wire of length 20 cm can be bent in the form of a sector then its ma...

    Text Solution

    |

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

    Text Solution

    |

  3. An open top box of maximum possible volume from a square piece of tin ...

    Text Solution

    |

  4. From a rectangular sheet of dimensions 30cm times 80cm, four squares o...

    Text Solution

    |

  5. The strength of a beam varies as the product of its breadth b and squ...

    Text Solution

    |

  6. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  7. The radius of right circular cylinder of maximum volume which can be i...

    Text Solution

    |

  8. The maximum volume of the cylinder which can be inscribed in a sphere ...

    Text Solution

    |

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

    Text Solution

    |

  10. The height and the radius of the base of a cylinder of maximum volume,...

    Text Solution

    |

  11. The dimensions of the greatest cylinder that can be inscribed in a sph...

    Text Solution

    |

  12. Show that when the curved surface of a is right circular cylinder insc...

    Text Solution

    |

  13. A cylindrical, gas container is closed at the top and open bottom. If...

    Text Solution

    |

  14. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  15. The height of the cone of maximum volume which can be inscribed in a s...

    Text Solution

    |

  16. The semivertical angle of a cone of maximum volume and of given total ...

    Text Solution

    |

  17. A conical tent of given capacity will require the least amount of canv...

    Text Solution

    |

  18. The semivertical angle of the cone of maximum volume and of given slan...

    Text Solution

    |

  19. If h is the height of the maximum cone inscribed in a sphere of radius...

    Text Solution

    |

  20. The maximum volume of the right circular cone that can be inscribed in...

    Text Solution

    |