Home
Class 10
MATHS
A solid sphere of radius ' r ' is mel...

A solid sphere of radius `' r '` is melted and recast into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 4 cm, its height 24 cm and thickness 2 cm, find the value of `' r '` .

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA|Exercise All Questions|230 Videos

  • TRIANGLES

    RD SHARMA|Exercise All Questions|361 Videos

Similar Questions

Explore conceptually related problems

A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder.

A solid sphere of radius 3 cm is melted and recast into a cylinder of radius 2cm. The height of the cylinder is :

A solid sphere of radius 3 cm is melted and recast into a cylinder of radius 2 cm. The height of the cylinder is :

A solid sphere of radius r is melted and recast into the shape of a solid cylinder of heighty ‘r’. Then the radius of base of solid cylinder will be.............

A solid hemisphere of radius 8cm is melted and recast into x sphere of radius 2cm each. Find x

A metallic sphere of radius 5.6 cm is melted and recast into a shape of cylinder of radius 6cm. Find the height of the cylinder.

A solid metallic cone is melted and recast into a solid cylinder of the same base as that of the cone. If the height of the cylinder is 7 cm, the height of the cone was

A solid sphere of radius r is melted and recast into the shape of a solid cone of height r. Find radius of the base of the cone.

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.

RD SHARMA-SURFACE AREAS AND VOLUMES-All Questions
  1. The larges sphere is carved out of a cube of side 10.5 cm. Find the...

    Text Solution

    |

  2. Find the weight of a hollow sphere of metal having internal and ext...

    Text Solution

    |

  3. A solid sphere of radius ' r ' is melted and recast into a hollo...

    Text Solution

    |

  4. Lead spheres of diameter 6 cm are dropped into a cylindrical beaker...

    Text Solution

    |

  5. The height of a solid cylinder is 15 cm and the diameter of its bas...

    Text Solution

    |

  6. The solid is composed of a cylinder with hemispherical ends. If the ...

    Text Solution

    |

  7. The surface area of a sphere is the same as the curved surface area...

    Text Solution

    |

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

    Text Solution

    |

  9. A rectangular vessel of dimensions 20 c mxx16 c mxx11 c m . is full...

    Text Solution

    |

  10. If r1 and r2 be the radii of two solid metallic spheres and if they...

    Text Solution

    |

  11. A solid metal sphere of 6 cm diameter is melted and a circular shee...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the number of coins 1.5 cm in diameter and 0.2 cm thick, to be...

    Text Solution

    |

  14. An iron pillar consists of a cylindrical portion of 2.8 m. height and...

    Text Solution

    |

  15. A circus tent is cylindrical to a height of 3 metres and conical ab...

    Text Solution

    |

  16. Height of a solid cylinder is 10 cm and diameter 8 cm. Two equal co...

    Text Solution

    |

  17. The height of a solid cylinder is 15 cm. and the diameter of its ba...

    Text Solution

    |

  18. The solid is composed of a cylinder with hemispherical ends. If the ...

    Text Solution

    |

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

    Text Solution

    |

  20. A tent is in the form of a right circular cylinder surmounted by a ...

    Text Solution

    |