Home
Class 14
MATHS
The radius of base and the volume of a ...

The radius of base and the volume of a right circular cone are doubled. The ratio of the length of the larger cone to that of the smaller cone is :

A

`1:4`

B

`1:2`

C

`2:1`

D

`4:1`

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 the base and the height of a right circular cone are doubled. The volume of the cone will be

The radius of the base of a right circular cone is doubled. To keep the volume fixed, the height of the cone will be

Volume of frustum of right circular cone

The radius of the base of a right circular cone is doubled keeping its height fixed. The volume of the cone will be :

The radii of the frustum of a right circular cone are in the ratio 2 : 1. What is the ratio of the volume of the frustum of the cone to that of the whole cone ?

If the radius of the base is doubled , keeping the height constant , what is the ratio of the volume of the larger cone to the smaller cone ?

The volume of a right circular cone, with a base radius the same as its altitude, and the volume of a hemisphere are equal. The ratio of the radii of the cone to the hemisphere is:

The volume of a right circular cone, whose radius of the base is same as one-third of its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is:

The volume of a right circular cone, whose radius of the base is half of its altitude, and the volume of a hemisphere are equal. The ratio of the radius of the cone to the radius of the hemisphere is:

If the radius of the base of a cone be doubled and height is left unchanged, then ratio of the volume of new cone to that of the original cone will be :

QUANTUM CAT-MENSURATION-QUESTION BANK
  1. The base of a prism is a righ angle triangle and the two sides contain...

    Text Solution

    |

  2. A conical circus tent is to be made of canvas. The height of the tent ...

    Text Solution

    |

  3. The radius of base and the volume of a right circular cone are double...

    Text Solution

    |

  4. A cone and a hemisphere have equal bases and equal volumes. The ratio ...

    Text Solution

    |

  5. A hollow sphere of internal and external diameters 4 cm and 8 cm respe...

    Text Solution

    |

  6. The perimeter of the figure given below correct to one decimal place i...

    Text Solution

    |

  7. The sum of the radii of the two circle is 140 cm and the difference be...

    Text Solution

    |

  8. If the lateral surface of right circular cone is 2 times its base , th...

    Text Solution

    |

  9. There is a pyramid on a base which is a regular hexagon of side 2a. If...

    Text Solution

    |

  10. The slant height of a conical tent made of canvas is (14)/(3) m . The ...

    Text Solution

    |

  11. A hemispherical basin 150 cm in diameter holds water one hundred and ...

    Text Solution

    |

  12. If BC passes through centre of the circle, then the area of the shaded...

    Text Solution

    |

  13. A river 3 m deep and 60 m wide is flowing at the rate of 2.4 km/h . Th...

    Text Solution

    |

  14. A cone whose height is 15 cm and radius of base is 6 cm is trimmed suf...

    Text Solution

    |

  15. If a solid right circular cylinder is made of iron is heated to increa...

    Text Solution

    |

  16. The base of a prism is a regular hexagon. If every edge of the prism...

    Text Solution

    |

  17. If the side of a square is 24 cm, then the circumference of its circum...

    Text Solution

    |

  18. An isosceles right triangle has area 112.5 m^(2). The length of its h...

    Text Solution

    |

  19. Two circles of unit radii, are so drawn that the centre of each lies o...

    Text Solution

    |

  20. If the right circular cone is separated into three solids of volumes V...

    Text Solution

    |