Home
Class 14
MATHS
The height of a cone is 30 cm .A small c...

The height of a cone is 30 cm .A small cone is cut off at the top by a plane parallel to the base . If its volume be `(1)/(27)` of the volume of the given cone, at what height above the base the section has been made?

A

20 cm

B

18 cm

C

27 cm

D

15 cm

Text Solution

Verified by Experts

The correct Answer is:
A
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 a cone is 30cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 th of the volume of the given cone, at what height above the base is the section made? एक शंकु की ऊँचाई 30 सेमी है । एक छोटा शंकु आधार के समानांतर एक तल द्वारा शीर्ष पर काट दिया जाता है। यदि इसका आयतन दिए गए शंकु के आयतन का 1/27 हो, तो तल से कितनी ऊँचाई पर खंड किया जाएगा?

The height of cone is 30cm .A small cone is cut off at the top by a plane paralle to its base.Its volume be 1/27 of the volume of the given cone at,What height above the base is the section made.

The height of a right circular cone is 20 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/8 of the volume of the given cone, at what height above the base is the section made?

The height of a cone is 20 cm. A small cone is cut off from the top by a plane parallel to the base. If its volume be 1//125 of the volume of the original cone, determine at what height above the base the section is made.

The height of a cone is 40cm. A small cone is cut off at the top by a plane parallel to its base.If the volume of a small cone is (1)/(64) of the volume of the given cone,at what height above the base is the section made?

The height of a cone is 60 cm. A small cone is cut off at the top by a plane parallel to the base and its volume is 1/64 the volume of original cone. What is the height from the base at which the section is made ?

The height of a cone is 60cm .A small cone is cut off at the top by a plane parallel to the base and is volume is (1)/(64) the volume of original cone.The height from the base at which the section is made is: (a) 15cm(b)30cm(c)45cm(d)20cm

Find the volume of the cone of height 10 cm and radius of the base 3 cm.

The height of a cone is 10cm. The cone is divided into two parts using a plane parallel to its base at the middle of its height.Find the ratio of the volumes of the two parts.

The height of a cone is 45cm. It is cut at a height of 15cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm^3 , then what is the volume (in cm^3 ) of the original cone?

QUANTUM CAT-MENSURATION-QUESTION BANK
  1. A hollow garden roller 42 cm wide with a girth of 132 cm is made of ir...

    Text Solution

    |

  2. A conical vessel has a capacity of 15L of milk . Its height is 50 cm a...

    Text Solution

    |

  3. The height of a cone is 30 cm .A small cone is cut off at the top by a...

    Text Solution

    |

  4. A tent is in the form of right circular cone 10.5 m high , the diamete...

    Text Solution

    |

  5. The radius and height of a right circular cone are in the ratio of 5:1...

    Text Solution

    |

  6. The volume and heigh of a right circular cone are 1232 cm^(3) and 24 ...

    Text Solution

    |

  7. The circumference of the base of a right circular cone is 220 cm and...

    Text Solution

    |

  8. How many meters of cloth 10 m wide will be required to make a conical ...

    Text Solution

    |

  9. A cone of height 2.8 cm has a lateral surface area 23.10 cm^2. The rad...

    Text Solution

    |

  10. The radii of two cones are equal and their slant heights are in the ra...

    Text Solution

    |

  11. The ratio of the volume of a right circular cylinder and a right cir...

    Text Solution

    |

  12. If the diameter of the base of right circular cone is equal to 8 cm a...

    Text Solution

    |

  13. If the base radius and the height of a right circular cone are increas...

    Text Solution

    |

  14. From a circular sheet of paper of radius 25 cm, a sector area 4% is r...

    Text Solution

    |

  15. If the radius of the base is doubled , keeping the height constant , w...

    Text Solution

    |

  16. A largest posible cone is cut out from a cube of volume 1000 cm^(3) ...

    Text Solution

    |

  17. If the height and the radius of a cone are doubled, the volume of the ...

    Text Solution

    |

  18. A conical tent has 60^(@) angle at the vertex. The ratio of its radius...

    Text Solution

    |

  19. Water flows at the rate of 5 m per min from a cylindrical pipe 16 mm i...

    Text Solution

    |

  20. A reservoir is in the shape of a frustum of a right circular cone. ...

    Text Solution

    |