Home
Class 9
MATHS
Three solid sphres of radius 1 cm, 6 cm ...

Three solid sphres of radius 1 cm, 6 cm and 8 cm, respectively are melted together and cast into a single sphere. The radius r of this sphere will be

A

`rgt9` cm

B

r=9 cm

C

`9 cmltrlt10 cm`

D

`rgt10 cm`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    MODERN PUBLICATION|Exercise EXERCISE|228 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|239 Videos

  • TRIANGLES

    MODERN PUBLICATION|Exercise EXERCISE|98 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.

The volume of a sphere of radius 10.5 cm is

A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is

Three solid glass balls of radii 1 cm, r cm and 8 cm are melted into a solid sphere of radius 9 cm, Determine the value of r.

A sphere of radius 8 cm is melted and recast into a right circular cone of height 32 cm. Find the radius of the base of the cone

The base radius and height of a right circular solid cone are 2 cm and 8 cm respectively. It is melted and recast into spheres of diameter 2 cm each. Find the number of spheres so formed.

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

MODERN PUBLICATION-SURFACE AREAS AND VOLUMES-EXERCISE
  1. The slant height of a right circular cone is 10 cm and its height is 8...

    Text Solution

    |

  2. A cone and a hemispher have equal bases and equal volumes. Find the ra...

    Text Solution

    |

  3. Three solid sphres of radius 1 cm, 6 cm and 8 cm, respectively are mel...

    Text Solution

    |

  4. The ratio of the volumes of a right circular cylinder and a right circ...

    Text Solution

    |

  5. If the ratio of the volumes of two spheres is 1:8, then the ratio of t...

    Text Solution

    |

  6. If a solid sphere of radius r is melted and cast into the shape of a s...

    Text Solution

    |

  7. A cone of semi vertical angle of alpha is inscribed in a sphere of rad...

    Text Solution

    |

  8. How many cubical blocks wose edge measures 3 cm can be formed by melti...

    Text Solution

    |

  9. How much length of the iron sheet 11 cm, wide is required for making a...

    Text Solution

    |

  10. The slant side of a right circular cone is 10 m and its height 8 m. fi...

    Text Solution

    |

  11. Find the lateral surface area of a cube of side is 8 cm.

    Text Solution

    |

  12. The total surface area of a cylinder is 462cm^2 and its curved surface...

    Text Solution

    |

  13. If the radius of a sphere is increased by 10%, prove that its volume w...

    Text Solution

    |

  14. The surface area of a sphere of radius 5 cm is five times the area of ...

    Text Solution

    |

  15. A well with 10 m inside diameter is dug 14 m deep. Earth taken out of ...

    Text Solution

    |

  16. How many metres of cloth 5 m wide will be required to make a conical t...

    Text Solution

    |

  17. The volume of two spheres are in the ratio 64:27. Find the difference ...

    Text Solution

    |

  18. The radius and height of right circular cone area in the ratio 4:3 and...

    Text Solution

    |

  19. The radius of the base of a cone is 14 cm and its height is 24 cm. fin...

    Text Solution

    |

  20. The ratio of the curved surface area and the total surface area of a c...

    Text Solution

    |