Home
Class 12
MATHS
Show that the height of the cylinder ...

Show that the height of the cylinder of maximum volume that can be inscribed in a cone of height `h` is `1/3h`

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) .

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) .

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) .

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3))

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

Show that the height of the right circular cone of maximum volume that can be inscribed in a sphere of radius 12 cm is 16 cm.

Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle alpha is one-third that of the cone and the greatest volume of cylinder is 4/(27)pih^3tan^2alphadot

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

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

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.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Solve the following differential equation: (x^2-y^2)dx+2x y\ dy=0 gi...

    Text Solution

    |

  2. Solve the following differential equation: (dy)/(dx)=(x\ (2y-x))/(x\ (...

    Text Solution

    |

  3. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  4. Show that of all the rectangles inscribed in a given fixed circle, ...

    Text Solution

    |

  5. Find a unit vector in the direction of vec a=3 hat i-2 hat j+6 hat...

    Text Solution

    |

  6. Find the angle between the vectors vec a= hat i- hat j+\ hat k\ a...

    Text Solution

    |

  7. If A=[(1, 2, 2),( 2, 1, 2), (2, 2, 1)], verify that A^2-4A-5I=0

    Text Solution

    |

  8. A pair of dice is thrown 4 times. If getting a doublet is considered a...

    Text Solution

    |

  9. Using properties of determinants, prove the following: \begin{vmatr...

    Text Solution

    |

  10. If "f"("x")=x+7 and g(x)=x-7,\ x\ \in R , find (fog)(7).

    Text Solution

    |

  11. Find the value of sin[pi/3 - sin^(-1) (- 1/2)]

    Text Solution

    |

  12. Find the value of x\ and y\ if "2" [(1,3) ,(0,x)]+ "[(y ,0 ),(1 ,2)]...

    Text Solution

    |

  13. Evaluate: |{:(" "a+ib,c+id),(-c+id,a-ib):}|

    Text Solution

    |

  14. Find the cofactor of a(12) in the following: [(2,-3,5), (6 ,0 ,4), (...

    Text Solution

    |

  15. Evaluate int(x^2)/(1+x^3)\ dx"

    Text Solution

    |

  16. Evaluate : int0^1(dx)/(1+x^2)

    Text Solution

    |

  17. A factory owner purchases two types of machines, A and B for his fac...

    Text Solution

    |

  18. An insurance company insured 2000 scooter drivers, 4000 car drivers...

    Text Solution

    |

  19. Evaluate: int(-a)^a\ sqrt((a-x)/(a+x))\ dx\ \

    Text Solution

    |

  20. Find the equation of the plane passing through the point (3,4,1) an...

    Text Solution

    |