Home
Class 10
MATHS
Three solid spheres of radii 3, 4 and...

Three solid spheres of radii 3, 4 and 5 cm respectively are melted and converted into a single solid sphere. Find the radius of this sphere.

Text Solution

AI Generated Solution

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

Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

Three solid spheres of iron whose diameters are 2cm, 12cm and 16cm, respectively, are melted into a single solid sphere. Find the radius of the solid sphere.

Three solid spheres of iron whose diameters are 2cm, 12cm and 16cm, respectively, are melted into a single solid sphere. Find the radius of the solid sphere.

Metallic spheres of diameters 12 cm, 16 cm and 20 cm respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted and recasted into a single solid sphere. Taking pi = 3.1, find the surface area of the solid sphere formed.

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.

Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.

(a) Three metallic spherical balls of radii 3 cm , 4cm and 5 cm are melted and reacast in to a big spherical ball find the radius of this big ball. (b) Three metallic spheres are melted and recast in to a big solid sphere.Find the radius of big solid sphere if the diameter of three metalic sphres are 16 cm . 12 cm and 2 cm.

RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. In Figure, from the top of a solid cone of height 12 cm and base radiu...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. A well with 10m inside diameter is dug 8.4m deep. Earth taken out o...

    Text Solution

    |

  6. In the middle of a rectangular field measuring 30 mxx20 m , a well ...

    Text Solution

    |

  7. The inner and outer radii of a hollow cylinder are 15 cm and 20 cm,...

    Text Solution

    |

  8. Two cylindrical vessels are filled with oil. Their radii are 15 cm,...

    Text Solution

    |

  9. A cylindrical bucket 28 cm in diameter and 72 cm high is full of wa...

    Text Solution

    |

  10. A cubic cm of gold is drawn into a wire 0.1 mm in diameter, find th...

    Text Solution

    |

  11. A well of diameter 3 m is dug 14 m deep. The earth taken out of it ...

    Text Solution

    |

  12. A conical vessel whose internal radius is 10 cm and height 48 cm is...

    Text Solution

    |

  13. The vertical height of a conical tent is 42 dm and the diameter of ...

    Text Solution

    |

  14. A cylinder and a cone have equal radii of their bases and equal hei...

    Text Solution

    |

  15. A sphere of diameter 5 cm is dropped into a cylindrical vessel part...

    Text Solution

    |

  16. A spherical ball of iron has been melted and made into smaller ball...

    Text Solution

    |

  17. Find the depth of a cylindrical tank of radius 28 m, if its capacit...

    Text Solution

    |

  18. A hemispherical bowl of internal radius 15 cm contains a liquid. Th...

    Text Solution

    |

  19. In a cylindrical vessel of diameter 24 cm, filled up with sufficien...

    Text Solution

    |

  20. A hemisphere of lead of radius 7 cm is cast into a right circular c...

    Text Solution

    |