Home
Class 10
MATHS
A hemispherical vessel of radius 14 cm i...

A hemispherical vessel of radius 14 cm is fully filled with sand . This sand is poured on a level ground. The heap of sand forms a cone shape of height 7 cm . Calculate the area of ground occupied by the circular base of the heap of the sand.

Text Solution

Verified by Experts

The correct Answer is:
`2464cm^(2)`
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

A hemispherical vessel of radius 14 cm is filled fiuld with sand. This sand is poured on a ground. The heap of sand forms a conc shape of height 7 cm . Calculate the area of ground occupied by the circular base of the heap of the sand.

A cylindrical bucket , 32cm high and with radius of base 18cm , is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed . If the height of the conical heap is 24cm , find the radius and slant height of the heap.

A right circular cylinder has base radius 14 cm and height 21 cm. Find its area of base (or area of each end)

Sand is pouring from a pipe at the rate of 12cm^(3)//s . The falling sand forms a cone on the top of ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4cm?

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

    |