Home
Class 12
MATHS
Show that the semi-vertical angle of the...

Show that the semi-vertical angle of the right-circular cone of maximum volume and of given slant height is `cos^-1(1/sqrt3)`

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is tan^-1sqrt2 .

Prove that the semi-vertical angle of the right circular cone of given volume and least curved surface area is cot^-1sqrt2

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

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 radius of right circular cylinder of maximum volume, that can be inscribed in a sphere of radius 30 cm, is 10sqrt6 cm.

Show that the radius of right circular cylinder of maximum volume, that can be inscribed in a sphere of radius 18 cm, is 6sqrt6 cm.

Show that the radius of right circular cylinder of maximum volume, that can be inscribed in a sphere of radius 24 cm, is 8sqrt6 cm.

Show that the height of the circular cylinder of maximum volume that can be inscribed in a given right-circular cone of height h is 1/3 h

Find the height of right circular cylinder of maximum volume that can be inscribed in a sphere of radius 10sqrt3 cm.

The radius of a right circular cone is 4 cm and volume if 48picm^3 find its height.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the altitude of the circular cylinder of maximum volume that can ...

    Text Solution

    |

  2. Find the altitude of the circular cone of maximum volume that can be i...

    Text Solution

    |

  3. Show that the semi-vertical angle of the right-circular cone of maximu...

    Text Solution

    |

  4. The combined resistance of two resistors R1 and R@ (R1,R2>0) is given ...

    Text Solution

    |

  5. Show that height of the cylinder of greatest volume which can be inscr...

    Text Solution

    |

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

    Text Solution

    |

  7. A metal box with a square box and vertical sides is to contain 512 c^3...

    Text Solution

    |

  8. An isosceles triangle of vertical angle 2theta is inscribed in a circl...

    Text Solution

    |

  9. If the sum of the lengths of hypotenuse and a side of a right-angled t...

    Text Solution

    |

  10. An open box with a square base is to be made out of a given iron sheet...

    Text Solution

    |

  11. A point on the hypotenuse of a triangle is at distance a and b from th...

    Text Solution

    |

  12. Find the dimensions of the rectangle of perimeter 36 cm which will swe...

    Text Solution

    |

  13. If the sum of the surface areas of cube and a sphere is costnat, what ...

    Text Solution

    |

  14. If the length of three sides of a trapezium other than base are equal ...

    Text Solution

    |

  15. Find the shortest distance of the point (0, c) from the parabola y = x...

    Text Solution

    |

  16. Let AP and BQ be two vertical poles at points A and B respectively. If...

    Text Solution

    |

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

    Text Solution

    |

  18. Find the rate of change of area of a square when its side is increasin...

    Text Solution

    |

  19. If the rate of change of volume of a sphere is numerically equal to th...

    Text Solution

    |

  20. If the area of a circle increases at a uniform rate, then prove that t...

    Text Solution

    |