Home
Class 12
MATHS
Prove that the radius of the right circu...

Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half of that of the cone.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

Show that the right circular cone of least curved surface and given volume has an altitude equal to sqrt2 times the radius of the base.

Prove that the cone of the greatest volume which can be inscribed in a given sphere has an altitude equal to 2/3 rd the diameter of the sphere.

Prove that for a cone made by rolling up a semicircle, the curved surface area is twice the base area.

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

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

Of all the cylinders with given surface area, show that the volume is maximum when height is equal to the diameter of the base .

Radius and slant height of a solid right circular cone are 35cm and 37cm respectively,Find the curved surface area and total surface area of the cone.

Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is 8/27 of the volume of the sphere.

V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find two positive numbers whose sum is 15 and the sum of whose squares...

    Text Solution

    |

  2. If length of three sides of a trapezium other than base are equal to 1...

    Text Solution

    |

  3. Prove that the radius of the right circular cylinder of greatest curve...

    Text Solution

    |

  4. Find the absolute maximum value and minimum value of the function. f...

    Text Solution

    |

  5. Find the absolute maximum value and minimum value of the function. f...

    Text Solution

    |

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

    Text Solution

    |

  7. Find both the maximum value and the minimum value of 3 x^4-8 x^3+12 x^...

    Text Solution

    |

  8. At what points in the interval [0,2 pi], does the function sin 2 x att...

    Text Solution

    |

  9. What is the maximum value of the function sin x+cos x ?

    Text Solution

    |

  10. Find the maximum value of 2 x^3-24 x+107 in the interval [1,3]. Find t...

    Text Solution

    |

  11. It is given that at x = 1, the function x^4-62x^2+ax+9 attains its max...

    Text Solution

    |

  12. Find the maximum and minimum values of x+sin2 x on [0,2 pi]

    Text Solution

    |

  13. Find two numbers whose sum is 24 and whose product as large as possibl...

    Text Solution

    |

  14. Find two positive numbers x and y such that x+y=60 and x y^3 is maximu...

    Text Solution

    |

  15. Find two numbers x and y such that their sum is 35 and the product x^2...

    Text Solution

    |

  16. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

    Text Solution

    |

  17. An rectangle sheet of tin with adjascent sides 45 cm and 24 cm is to b...

    Text Solution

    |

  18. Show that all rectangles with a given perimeter, the square has the ma...

    Text Solution

    |

  19. Of all the cylinders with given surface area, show that the volume is ...

    Text Solution

    |

  20. Of all the closed cylindrical cans (right circular) of a given volume ...

    Text Solution

    |