Home
Class 12
MATHS
Show that the radius of right - circular...

Show that the radius of right - circular cylinder of maximum volume, that can be inscribed in a sphere of radius 18 cm, is `6sqrt6cm`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions)|45 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (B. Fill in the Blanks)|10 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (f) (Long Answer Type Questions (I))|24 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the height of right circular cylinder of maximum volume that can be inscribed in a sphere of radius 10sqrt3cm .

Show that the altitude of a right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3..

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is (4r)/(3) .

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius R is (4R)/(3) .

The height of the cylinder of maximum volume which can be inscribed in a sphere of radius 3cm is

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is (4R)/(3) .Also find maximum volume in terms of volume of the sphere.

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 1 (f) (Long Answer Type Questions (II))
  1. Show that the height of the cylinder of maximum volume that can be in...

    Text Solution

    |

  2. Find the height of right circular cylinder of maximum volume that can ...

    Text Solution

    |

  3. Show that the radius of right - circular cylinder of maximum volume, t...

    Text Solution

    |

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

    Text Solution

    |

  5. Of all the closed cylinderical cans (right - circular), which enclose ...

    Text Solution

    |

  6. Show that the surface area of a closed cuboid with square base and ...

    Text Solution

    |

  7. A figure consists of a semi-circle with a rectangle on its diameter...

    Text Solution

    |

  8. A window is the in the form of a reactangle, surmounted by a semi - ci...

    Text Solution

    |

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

    Text Solution

    |

  10. The height of a closed cylinder of given volume and the minimum sur...

    Text Solution

    |

  11. Rectangles are inscribed inside a semicircle of radius r. Find the r...

    Text Solution

    |

  12. A square-based tank of capacity 250 cu m has to bedug out. The cost of...

    Text Solution

    |

  13. A tank with rectangular base and rectangular sides, open at the top...

    Text Solution

    |

  14. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box ...

    Text Solution

    |

  15. An open box is to be made of square sheet of tin with side 20 cm, by c...

    Text Solution

    |

  16. A canon is fired at an angle theta(0le theta le(pi)/(2)) with the hori...

    Text Solution

    |

  17. Find the maximum profit that a company can make, if the profit functi...

    Text Solution

    |

  18. Find the maximum profit that a company can make, if the profit functio...

    Text Solution

    |

  19. Find the maximum profit that a company can make, if the profit functio...

    Text Solution

    |

  20. Find the point on the curve y^2 = 4x which is nearest to the point (2;...

    Text Solution

    |