Home
Class 10
MATHS
A solid sphere of radius r is melted and...

A solid sphere of radius r is melted and cast into the shape of a solid cone of height r, the radius of the base of the cone is____

A

2r

B

3r

C

4r

D

none of these.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Ratio and proportion

    UNITED BOOK HOUSE|Exercise Exercise |31 Videos
  • Rectangular Parallelopiped Cuboid

    UNITED BOOK HOUSE|Exercise Exercise |26 Videos

Similar Questions

Explore conceptually related problems

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

If a solid sphere of radius r unit be melted to make a solid right circular cone of height r - unit , then find the radius of the base of the cone .

A metallic hemisphere is melted and recast in the shape of a cone with same base radius ( R) as that of the hemisphere. If H is the height of the cone, then___

The material of a cone is converted into the shape of a cylinder of equal radius. If height of the cylinder is 5 cm, then height of the cone is____

The area of curved surface of a right circular cone is sqrt 5 times that of the base of the cone, find the fatio of the height and the radius of the base of the cone.

A solid sphere of 6 cm diameter is melted and recast into 8 solid spheres of equal volume. The radius (in cm) of each small sphere is__

Two solid right cones of equal height and of radii r_1 and r_2 are melted and madeto form a solid sphere of radius R. Then the height of the cone is_____

A metallic sphere of radius 10.5 cm is melted and then recast into small cones, each of radius 3.5 cm and height 3 cm. The number of such cones is___

UNITED BOOK HOUSE-Real life problem related to different solid objects-Exercise
  1. The volume of a sphere is 4/3Pir^3 cubic unit. The sphere is inscribed...

    Text Solution

    |

  2. A solid right circular cylinder of diameter 16cm. And height 2cm. Is m...

    Text Solution

    |

  3. The maximum volume of a cone that can be carved out of a solid hemisph...

    Text Solution

    |

  4. The material of a cone is converted into the shape of a cylinder of eq...

    Text Solution

    |

  5. A solid sphere of radius r is melted and cast into the shape of a soli...

    Text Solution

    |

  6. A cylindrical vessel 32 cm high and 18 cm as the radius of the base, i...

    Text Solution

    |

  7. A solid is hemispherical at the bottom and conical above. If the surfa...

    Text Solution

    |

  8. A metallic sphere of radius 10.5 cm is melted and then recast into sma...

    Text Solution

    |

  9. Water flows at the rate of 10 m/min from a cylinderical pipe 5 mm in d...

    Text Solution

    |

  10. A right trainlewith sides 3 cm, 4 cm and 5 cm is rotated about the sid...

    Text Solution

    |

  11. The volume of the greatest sphere that can be cutt off from a cylindri...

    Text Solution

    |

  12. A solid piece of iron of dimensions 49 times 33 times 24 cm is moulded...

    Text Solution

    |

  13. A right circular cylinder of radius r and height h (h > 2r) just enclo...

    Text Solution

    |

  14. The radii of the circular ends of a frustum are 6 cm and 14 cm. If its...

    Text Solution

    |

  15. The height and radius of the cone of which the frustum is a part are h...

    Text Solution

    |

  16. If four times the sum of the areas of two circular faces of a cylinder...

    Text Solution

    |

  17. If S1 and S2 be the surface area of a sphere and the curved surfae are...

    Text Solution

    |

  18. A conical cap is filled with ice cream. The ice cream forms a hemi-sph...

    Text Solution

    |

  19. A cone of height 15 cm and base diameter 30 cm is carved out of a wood...

    Text Solution

    |

  20. A conical flask is full of water. The flask has base radius r and heig...

    Text Solution

    |