Home
Class 12
MATHS
Show that the semivertical angle of a co...

Show that the semivertical angle of a cone of given slant height is `tan^1 sqrt2` when its volume is maximum.

Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES (APPLICATION OF DEFINITE INTEGRALS)

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos

Similar Questions

Explore conceptually related problems

Show that the semi-vertical angle of right circular cone of given surface area and maximum volume is "cosec"^(-1) (3) .

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is cos^(-1) (1)/(sqrt(3)) .

Show that the semi-vertical angle of a right circular cone of minimum volume that circumscribes a given sphere is sin^(-1) (1/3) .

MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find the altitude of a right circular cylinder of maximum volume inscr...

    Text Solution

    |

  2. Show that the radius of the right cicular cylinder of greatest curved ...

    Text Solution

    |

  3. Show that the semivertical angle of a cone of given slant height is ta...

    Text Solution

    |

  4. A cylindrical open water tank with a circular base is to be made out o...

    Text Solution

    |

  5. A cylindrical vessel of capacity 500 cubic metres open at the top is t...

    Text Solution

    |

  6. Find the coordinates of the point on the curve x^2y - x + y = 0 wher...

    Text Solution

    |

  7. Find the points on the curve y = x^2+1 which are nearest to the point ...

    Text Solution

    |

  8. Show that the minimum distance of a point on the curve (a^(2))/(x^(2))...

    Text Solution

    |

  9. Show that the semi-vertical angle of a right circular cone of minimum ...

    Text Solution

    |

  10. Show that the shrtest distance of the point (0, 8a) from the curve ax^...

    Text Solution

    |

  11. Shows that the triangle of greatest area that can be inscribed in a ci...

    Text Solution

    |

  12. Determine the differentials in each of the following cases. y = x^3 - ...

    Text Solution

    |

  13. Determine the differentials in each of the following cases. y = sin^2 ...

    Text Solution

    |

  14. Determine the differentials in each of the following cases. y = (1 +sq...

    Text Solution

    |

  15. Determine the differentials in each of the following cases. z = cos 2t...

    Text Solution

    |

  16. Determine the differentials in each of the following cases. r = 4/(1 +...

    Text Solution

    |

  17. Determine the differentials in each of the following cases. x^2y = 2

    Text Solution

    |

  18. Determine the differentials in each of the following cases. xy^2 + yx^...

    Text Solution

    |

  19. Find delta f and df when f(x) = 2x^2 - 1, x = 1, delta x = 0 cdot 02

    Text Solution

    |

  20. Find delta f and df when f(x) = sqrtx , x = 16, deltax = 0.3

    Text Solution

    |