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

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

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -2|69 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

Show that the semi vertical angle of a right circular cone of given total surface area and max volume is sin^-1 (1/3)

Prove that the semi-vertical angle of the right circular cone of given volume and least curved surface is cot^(-1)(sqrt(2))dot

Prove that the semi-vertical angle of the right circular cone of given volume and least curved surface is cot^(-1)(sqrt(2))dot

Show that the right circular cylinder, open at the top, and of given surface area and maximum volume is such that its height is equal to the radius of the base.

Show that the right circular cylinder, open at the top, and of given surface area and maximum volume is such that its height is equal to the radius of the base.

Show that the radius of closed right circular cylinder of given surface area maximum volume is equal to half of its height.

Show that the height of a closed right circular cylinder of given surface and maximum volume, is equal to the diameter of its base.

Show that the height of a closed right circular cylinder of given surface and maximum volume, is equal to the diameter of its base.

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is tan^(-1)sqrt(2) .

Show that semi-vertical angle of a cone of maximum volume and given slant height is tan^(-1) sqrt(2)

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -1
  1. Let f(x)=8x^(3)-6x^(2)-2x+1, then

    Text Solution

    |

  2. Show that semi-vertical angle of a cone of maximum volume and given sl...

    Text Solution

    |

  3. Show that semi-vertical angle of right circular cone of given total su...

    Text Solution

    |

  4. A window is in the shape of a rectangle surmounted by a semi circle. I...

    Text Solution

    |

  5. A window of perimeter P (including the base of the arch) is in the ...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. The total area of a page is 150c m^2dot The combined width of the marg...

    Text Solution

    |

  8. In a submarine telegraph cable the speed of signaling varies as x^2log...

    Text Solution

    |

  9. A wire of length l is cut into two parts. One part is bent into a circ...

    Text Solution

    |

  10. A running track of 440 ft is to be laid out enclosing a football field...

    Text Solution

    |

  11. If a cone of maximum volume is inscribed in a given sphere, then th...

    Text Solution

    |

  12. Find the maimum distacne of norma to ellipse (x^(2))/(a^(2))+(y^(2))/(...

    Text Solution

    |

  13. If a circle of radius 'a' inside an equilateral triangle, then prove t...

    Text Solution

    |

  14. A metal box with a square base and vertical sides is to contain 102...

    Text Solution

    |

  15. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

    Text Solution

    |

  16. A window is in the shape of a rectangle surmounted by a semi circle. I...

    Text Solution

    |

  17. The height of a right circular cylinder of maxium volume inscribed in ...

    Text Solution

    |

  18. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  19. The difference between the greatest and least value of the functions, ...

    Text Solution

    |

  20. If f(x)=a(0)+a(1)x^(2)+a(2)x^(4)+...+ a(n)x^(2n) be a polynomial where...

    Text Solution

    |