Home
Class 10
MATHS
A cone is having its base radius 12 cm a...

A cone is having its base radius 12 cm and height 20 cm. If the top of this cone is cut in to form of a small cone of base radius 3cm is remove, then the remaining part of the solid cone becomes a frustum. Calculate the volume of the frustum.

Text Solution

Verified by Experts

The correct Answer is:
`2970cm^(3)`.
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|11 Videos
  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -SHORT ANSWER [SA] TYPE-2 QUESTIONS|15 Videos
  • STATISTICS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS IIT FOUNDATION|5 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS - LONG ANSWER TYPE QUESTIONS|10 Videos

Similar Questions

Explore conceptually related problems

From the top of a cone of base radius 12 cm and height 20 cm. a small cone of base radius 3cm is to be cut off. How far down the vertex is the cuts should be made ? Find the volume of the frustum so obtained .

From the top of a cone of abse radius 24 cm and height 45 cm, a cone of slant height 17 cm is cutoff. What is the volume of the remaining frustum of the cone ?

A metallic solid cone is melted to form a solid cylinder of equal radius. Find the height of the cone if the height of the cylinder is 6 cm.

A clown's cap is in the form of a right circular cone of base radius 7 cm and height 24 cm . Find the area of the sheet required to make 10 such caps.

A frustum of cone with radii 20 cm and 32 cm has height 8 cm. its volume is

A right circular cone 3.6 cm high with base radius 1.6 cm is melted and recast into another cone of base radius 1.2 cm. then its height is

ZEN PUBLICATION-SURFACE AREAS AND VOLUMES-ZEE ADDITIONAL QUESTIONS - LONG ANSWER [LA] TYPE-QUESTIONS
  1. The surface areas of a cube and a sphere are equal. Prove that the rat...

    Text Solution

    |

  2. A tent consists of a frustum of a cone surmounted by a cone. If the di...

    Text Solution

    |

  3. When a metal cube is completely submerged in water contained in a cyli...

    Text Solution

    |

  4. A right triangle, whose sides are 3cm and 4cm (other than hypotenuse )...

    Text Solution

    |

  5. A hemispherical bowl of internal diameter 36 cm contains liquid. This ...

    Text Solution

    |

  6. Water flows through a cylinderical pipe of internal diameter 7 cm at 5...

    Text Solution

    |

  7. A hemispherical tank full of water is emptied by a pipe at the rate of...

    Text Solution

    |

  8. A farmer connects a pipe of internal diameter 25 cm from a canal into ...

    Text Solution

    |

  9. A cylindrical vessel with internal solid diameter 10 cm and height 10....

    Text Solution

    |

  10. Water flows at the rate of 15 kmph through a pipe of diameter 14 cm in...

    Text Solution

    |

  11. Water flows at the rate of 10 m/min through a cylinderical pipe 5 mm i...

    Text Solution

    |

  12. Selvi's house has an overhead tank in the shape of a cylinder. This is...

    Text Solution

    |

  13. A hollow cone is cut by a plane parallel to its base and the upper por...

    Text Solution

    |

  14. The radius of the base ofa right circular cone is 'x'. It is cut by a...

    Text Solution

    |

  15. The height of a right circular cone is trisected by two planes drawn p...

    Text Solution

    |

  16. The bottom of a right cylindrical shaped vessel made from metallic she...

    Text Solution

    |

  17. A hemispherical vessel of radius 14 cm is fully filled with sand . Thi...

    Text Solution

    |

  18. A cone is having its base radius 12 cm and height 20 cm. If the top of...

    Text Solution

    |