Home
Class 14
MATHS
The radius of a cone is sqrt(2) times th...

The radius of a cone is `sqrt(2)` times the height of the cone. A cube of maximum possible volume is cut from the same cone. What is the ratio of the volume of the cone to the volume of the cube?

A

`3.18 pi`

B

`2.25 pi`

C

2.35

D

can't be determined

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos
  • NUMBER SYSTEM

    QUANTUM CAT|Exercise QUESTION BANK|1091 Videos

Similar Questions

Explore conceptually related problems

The radius of a cone is √2 times the height of the cone. A cube of maximum possible volume is cut from the same cone. What is the ratio of the volume of the cone to the volume of the cube?

The radius of a cone is sqrt(2) xx the height of the cone.A cube of maximum possible volume is cut from the same cone.What is the ratio of the volume of the cone to the volume of the cube?

If the height of a given cone becomes four times and the radius of the base becomes twice, what is ratio of the volume of the given cone and the volume of the new cone ?

If the height of a given cone becomes thrice and the radius of the bae remains the same, what is the ratio of the volume of the given cone and the volume of the second cone ?

If the height of a given cone be doubled and radius of the base remains the same, the ratio of the volume of the given cone of that of the second cone will be

The height of the cone of maximum volume inscribed in a sphere of radius R is

If the radius of the base of a cone is halved, keeping the height same,what is the ratio of the volume of the reduced cone to that of the original.

QUANTUM CAT-MENSURATION-QUESTION BANK
  1. In the adjoining diagram ABCD is a square with side 'a' cm. In the di...

    Text Solution

    |

  2. Initially the diameter of a balloon is 28 cm. It can explode when the...

    Text Solution

    |

  3. The radius of a cone is sqrt(2) times the height of the cone. A cube o...

    Text Solution

    |

  4. Raju has 64 small cube of 1 cm^(3). He wants to arrange all of them ...

    Text Solution

    |

  5. The volume of a cylinder is 48.125 cm^3, which is formed by rolling a ...

    Text Solution

    |

  6. Consider a cylinder of height h cm and radius r=(4)/(pi) cm as shown ...

    Text Solution

    |

  7. Consider a cylinder of height h cm and radius r=(4)/(pi) cm as shown ...

    Text Solution

    |

  8. A blacksmith has a rectangular iron sheet 10 ft long. He has to cut ou...

    Text Solution

    |

  9. The perimeter of a non-square rhombus is 20 cm. One of its diagonal is...

    Text Solution

    |

  10. In the adjoining figure ABC is an equilateral triangle inscribeing ...

    Text Solution

    |

  11. A mixture contains alcohol and water in the ratio 4:3. If 5 litres of ...

    Text Solution

    |

  12. A box contains 420 coins in 1 rupee, 50 paisa and 20 paisa coins, the ...

    Text Solution

    |

  13. There are two cylindrical containers of equal capacity and equal dimen...

    Text Solution

    |

  14. The four vertices of a unit square act as the centres of four quarter-...

    Text Solution

    |

  15. Four small squares of equal size are cut off from each of the four cor...

    Text Solution

    |

  16. The following diagram depicts the Earth. For the sake of convenience a...

    Text Solution

    |

  17. The ratio of the ages of two persons is 4:7 and age of one of them is ...

    Text Solution

    |

  18. A sheep and a goat are tethered at the diagonally opposite ends of a s...

    Text Solution

    |

  19. What is the area of the largest semicircle that can be inscribed in th...

    Text Solution

    |

  20. The product of two successive numbers is 9506. Which is the smaller of...

    Text Solution

    |