Home
Class 10
MATHS
The diameters of the internal and ext...

The diameters of the internal and external surfaces of a hollow spherical shell are 6 cm and 10 cm respectively. If it is melted and recast into a solid cylinder of diameter 14 cm, find the height of the cylinder.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos

  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

Similar Questions

Explore conceptually related problems

The radius of the internal and external surface of a hollow spherical shell are 3cm and 5cm respectively. If it is melted and recast into a solid cylinder of height 2 2/3c mdot Find the diameter of the cylinder.

The radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid right circular cylinder of height 10 2/3 cm. Find the diameter of the base of the cylinder.

The radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid right circular cone of height 32 cm. Find the diameter of the base of the cone.

The internal and external diameters of a hollow hemispherical vessel are 21 cm and 28 cm respectively. Find : total surface area,

The inner and outer radii of a hollow cylinder are 15 cm and 20 cm, respectively. The cylinder is melted and recast into a solid cylinder of the same height. Find the radius of the base of new cylinder.

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

The internal and external diameters of a hollow hemispherical vessel are 21 cm and 28 cm respectively. Find : external curved surface area,

The internal and external diameters of a hollow hemispherical vessel are 21 cm and 28 cm respectively. Find : internal curved surface area,

RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. A rectangular tank 15 m long and 11 m broad is required to receive ...

    Text Solution

    |

  2. A hemispherical bowl of internal radius 9 cm is full of liquid. Thi...

    Text Solution

    |

  3. The diameters of the internal and external surfaces of a hollow sph...

    Text Solution

    |

  4. A hollow sphere of internal and external diameters 4 cm and 8 cm re...

    Text Solution

    |

  5. A cylindrical tub of radius 12 cm contains water to a depth of 20 c...

    Text Solution

    |

  6. 500 persons have to dip in a rectangular tank which is 80 m long an...

    Text Solution

    |

  7. A cylindrical jar of radius 6 cm contains oil. Iron spheres each of...

    Text Solution

    |

  8. A hollow sphere of internal and external radii 2 cm and 4 cm respec...

    Text Solution

    |

  9. The internal and external diameters of a hollow hemispherical vesse...

    Text Solution

    |

  10. Raise in water level problems : A cylinderical tub of radius 12 cm con...

    Text Solution

    |

  11. A spherical ball of radius 3 cm is melted and recast into three sph...

    Text Solution

    |

  12. The diameter of a metallic sphere is equal to 9 cm. It is melted an...

    Text Solution

    |

  13. An iron spherical ball has been melted and recast into smaller ball...

    Text Solution

    |

  14. A tent of height 77 dm is in the form a right circular cylinder of ...

    Text Solution

    |

  15. Metal spheres, each of radius 2 cm, are packed into a rectangular b...

    Text Solution

    |

  16. The largest sphere is to be curved out of a right circular cylinder...

    Text Solution

    |

  17. A copper sphere of radius 3 cm is melted and recast into a right ci...

    Text Solution

    |

  18. A copper rod of diameter 1 cm and length 8 cm is drawn into a wire ...

    Text Solution

    |

  19. The diameters of the internal and external surfaces of a hollow sph...

    Text Solution

    |

  20. A right angled triangle whose sides are 3 cm, 4 cm and 5 cm is revo...

    Text Solution

    |