Home
Class 10
MATHS
The height and base radius of a metallic...

The height and base radius of a metallic cone are 216 cm and 16 cm respectively.It melted and recast into a sphere .Find the surface area of the spere.

Text Solution

Verified by Experts

The correct Answer is:
2304`pi cm^(2)`
Promotional Banner

Topper's Solved these Questions

  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN|Exercise Revisions Exercise Very Short Answer Questions|10 Videos
  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN|Exercise Revisions Exercise Short Answer Questions|10 Videos
  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|10 Videos
  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Questions|4 Videos

Similar Questions

Explore conceptually related problems

The base diameter and height of a metallic cone are 24cm and 6cm respectively .It is melted and recast in to a sphere.Find the surface area of the sphere.

The height and radius of base of a metallic cone are 27 cm and 16 cm respectively .It is melted and recast into a sphere .Find the radius and curved surface of the sphere.

The radius of the base and height of a metallic solid cylinder are 5 cm and 6 cm respectively. It is melted and recast into a solid cone of the same radius of base. The height of the cone is :

The radius of the base and height of a metallic solid cylinder are r cm and 6 cm respectively. It is melted and recast into a solid cone of the same radius of base. The height of the cone is (a) 9 cm (b) 18 cm (c) 27 cm (d) 54 cm

Threee metallic cones of radius 2cm and height 9 cm are melted and recast in to a solid sphere. Find the radius of the sphere.

Threee metallic cones of radius 2cm and height 9cm are melted and recast in to a solid sphere. Fuind the radius of the sphere.

A solid metallic cone of radius 10cm and height (2)/(5)m is melted and recast into a sphere. Find theradius of the sphere.

A cone of metal of height 24 cm and radius of base 6 cm is melted and recast into a sphere. Find the radius of the sphere.

A cone has height which is half of 16.8 cm, while diameter of its base is 4.2 cm. It is melted and recast into a sphere. Find the surface area of the sphere.

NAGEEN PRAKASHAN-VOLUME AND SURFACE AREA OF SOLIDS-Exercise
  1. A cone of height 4 cm is melted and recast into a sphere of diameter 8...

    Text Solution

    |

  2. A metallic sphere of radius 7 cm is melted and recast in to right circ...

    Text Solution

    |

  3. The height and base radius of a metallic cone are 216 cm and 16 cm res...

    Text Solution

    |

  4. The base diameter and height of a metallic cone are 24cm and 6cm respe...

    Text Solution

    |

  5. (a) Three metallic spherical balls of radii 3 cm , 4cm and 5 cm are me...

    Text Solution

    |

  6. (a) How many balls of radius 1 cm can be drawn by melting metallic sph...

    Text Solution

    |

  7. (a) How many spherical balls of diameter 12 cm can be construct ed by ...

    Text Solution

    |

  8. A metallic sphere of radus 4 cm and a metallic cone of base readius 3 ...

    Text Solution

    |

  9. How many solid speherical balls of radus 3.5 cm can be recast by melt...

    Text Solution

    |

  10. There is some water in a cylindrical vessel of radus 6 cm a sphere of ...

    Text Solution

    |

  11. A solid metallic ball is dropped in a cylindrical vessel which has som...

    Text Solution

    |

  12. (i) The radius of a metallic sphere is 3 cm .It melted and recast in t...

    Text Solution

    |

  13. How many metallic cones of radius 3 cm and height 13.5 cm are required...

    Text Solution

    |

  14. The inner radius of a hemispherical cup is 9 cm and it is completely ...

    Text Solution

    |

  15. Two metallic cones of equal radii 2.1 cm and heights 4.1 cm and 4.3 cm...

    Text Solution

    |

  16. Threee metallic cones of radius 2cm and height 9cm are melted and reca...

    Text Solution

    |

  17. Threee metallic cones of radius 2cm and height 9 cm are melted and rec...

    Text Solution

    |

  18. A metallic cone is melted and recast in to a cylinder of same radius a...

    Text Solution

    |

  19. A cone of height 15 cm is melted and reacast in to cylinder of same ba...

    Text Solution

    |

  20. A cone of same height and same base radius is cut from a cylinder of h...

    Text Solution

    |