Home
Class 10
MATHS
The height of a cone is 20 cm. A smal...

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.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA|Exercise All Questions|230 Videos
  • TRIANGLES

    RD SHARMA|Exercise All Questions|361 Videos

Similar Questions

Explore conceptually related problems

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 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?

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 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 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 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

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?

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.

RD SHARMA-SURFACE AREAS AND VOLUMES-All Questions
  1. The perimeters of the ends of a frustum of a right circular cone ar...

    Text Solution

    |

  2. If the radii of the circular ends of a conical bucket which is 45 c...

    Text Solution

    |

  3. The height of a cone is 20 cm. A small cone is cut off from the top...

    Text Solution

    |

  4. If the radii of the circular ends of a bucket 24 cm high are 5 cm a...

    Text Solution

    |

  5. The radii of the circular bases of a frustum of a right circular co...

    Text Solution

    |

  6. A tent consists of a frustum of a cone capped by a cone. If the rad...

    Text Solution

    |

  7. A reservoir in the form of the frustum of a right circular cone con...

    Text Solution

    |

  8. A solid metallic right circular cone 20 cm high with vertical angle...

    Text Solution

    |

  9. A bucket is in form of a frustum of a cone with a copacity of 12308.8 ...

    Text Solution

    |

  10. A bucket made of aluminium sheet is of height 20 cm and its upper a...

    Text Solution

    |

  11. The radii of the circular ends of a solid frustum of a cone are 33 ...

    Text Solution

    |

  12. A bucket made up of a metal sheet is in the form of a frustum of a ...

    Text Solution

    |

  13. A solid is in the shape of a frustum of a cone. The diameters of th...

    Text Solution

    |

  14. A milk container is made of metal sheet in the shape of frustum of a c...

    Text Solution

    |

  15. A solid cone of base radius 10 cm is cut into two parts through the...

    Text Solution

    |

  16. A bucket open at the top, and made up of a metal sheet is in the form ...

    Text Solution

    |

  17. In Fig. 16.74, from the top of a solid cone of height 12 cm and bas...

    Text Solution

    |

  18. A metallic sphere 1 dm in diameter is beaten into a circular sheet ...

    Text Solution

    |

  19. Three solid spheres of radii 3, 4 and 5 cm respectively are melted ...

    Text Solution

    |

  20. A spherical shell of lead, whose external diameter is 18 cm, is mel...

    Text Solution

    |