Home
Class 14
MATHS
If the height of a cone is half the radi...

If the height of a cone is half the radius of a sphere then the radius of the base of the cone, which has the same volume as a sphere of radius 7 cm is :

A

14 m

B

`(14)/sqrt2 cm`

C

`14sqrt2 cm`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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 height of the cone of maximum volume inscribed in a sphere of radius R is

A cone of height 4 cm is melted and recast into a sphere of diameter 8 cm .Find the radius of the base of the cone.

The radius of the base of a cone is 7 cm and the height is 6cm. Its volume is ( pi = ( 22)/( 7)) :

Height of greatest cone inscribed in a sphere of radius r is

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 radius of the base of a cone is 21 cm and the height is 20 cm. Find the volume the cone

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:

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

The radius of a sphere is equal to the radius of the base of a right circular cone, and the volume of the sphere is double the volume of the cone. The ratio of the height of the cone to the radius of its base is

QUANTUM CAT-MENSURATION-QUESTION BANK
  1. If a hemispherical dome has an inner radius 21 m then its volume ( in ...

    Text Solution

    |

  2. A sphere of radius 9 cm is dropped into a cylindrical vessel partly fi...

    Text Solution

    |

  3. If the height of a cone is half the radius of a sphere then the radius...

    Text Solution

    |

  4. From a solid sphere of radius 15 cm, a right circular cylindrical hole...

    Text Solution

    |

  5. If a plane cuts the hemisphere parallel to the great circle of the hem...

    Text Solution

    |

  6. A sphere of 5 cm radius is cut by two parallel planes which are 7 cm a...

    Text Solution

    |

  7. A sphere of 5 cm radius is cut by two parallel planes which are 7 cm a...

    Text Solution

    |

  8. A sphere of 5 cm radius is cut by two parallel planes which are 7 cm a...

    Text Solution

    |

  9. A sphere of 17 cm radius is cut by two parallel planes which are 7 cm ...

    Text Solution

    |

  10. A sphere of 17 cm radius is cut by two parallel planes which are 7 cm ...

    Text Solution

    |

  11. A sphere of 17 cm radius is cut by two parallel planes which are 7 cm ...

    Text Solution

    |

  12. Find the volume of the sector of a sphere of radius 25 cm. The radius ...

    Text Solution

    |

  13. The volume a pyramid of base area 25 cm^(2) and height 12 cm is :

    Text Solution

    |

  14. If the base of right rectangular prism remains constant and the measur...

    Text Solution

    |

  15. If the side of an equilateral triangle is r, then the area of the tria...

    Text Solution

    |

  16. The length of the minute hand of the clock is 6 cm. The area swept by...

    Text Solution

    |

  17. If the diagonals of a rhombus are 18 cm and 24 cm respectively , then ...

    Text Solution

    |

  18. If the ratio of diagonals of two squares is 3:2 then the ratio of the...

    Text Solution

    |

  19. In the given figure , ABCD is a trapezium in which the parallel sides ...

    Text Solution

    |

  20. One cubic metre piece of copper is melted and recast into a square cro...

    Text Solution

    |