Home
Class 10
MATHS
A metallic sphere of radius 10.5 cm is m...

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. Find the number of cones thus formed.

Text Solution

Verified by Experts

The correct Answer is:
`126`
Promotional Banner

Topper's Solved these Questions

  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (A)|36 Videos

  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (B)|17 Videos

  • CONSTRUCTIONS (CIRCLES)

    ICSE|Exercise EXERCISE|39 Videos

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(E)|68 Videos

Similar Questions

Explore conceptually related problems

A solid sphere of radius 10.5 cm is melted and recast into smaller solid cones, each of radius 3.5cm and height 3cm. Find the number of cones so formed. (U s epi=(22)/7)

A solid sphere of radius 10.5 cm is melted and recast into smaller solid cones, each of radius 3.5cm and height 3cm. Find the number of cones so formed. (U s epi=(22)/7)

A solid sphere of radius 10.5 cm is melted and recast into smaller solid cones, each of radius 3.5cm and height 3cm. Find the number of cones so formed. (U s epi=(22)/7)

A metallic sphere of radius 10.5 cm is melted and recast into small right circular cones, each of base radius 3.5 cm and height 3 cm. The number of cones so formed is (a) 105 (b) 113 (c) 126 (d) 135

A metallic sphere of radius 10.5 cm is melted and recast into small right circular cones, each of base radius 3.5 cm and height 3 cm. The number of cones so formed is (a) 105 (b) 113 (c) 126 (d) 135

A metallic sphere of radius 10.5 cm is melted and recast into small right circular cones, each of base radius 3.5 cm and height 3 cm. The number of cones so formed is (a) 105 (b) 113 (c) 126 (d) 135

A solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cones formed.

The surface area of a solid metallic sphere is 1 0256 cm^(2). It is melted and recast into solid right circular cones each of radius 2.5 cm and height 8 cm. Find the number of cones formed [Take pi = 3.14 ].

A metallic solid sphere of radius 10.5 is melted and recasted in to smaller solid cones each of radius 3.5 cm and height 3 cm .How many cones will be made?

A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 4 2/3 cm and height 3 cm. Find the number of cones so formed.

ICSE-CYLINDER, CONE AND SPHERE -EXERCISE 20 (G)
  1. A metallic sphere of radius 10.5 cm is melted and then recast into sma...

    Text Solution

    |

  2. What is the least number of solid metallic spheres, each of 6 cm diame...

    Text Solution

    |

  3. A largest sphere is to be carved out of a right circular cylinder of r...

    Text Solution

    |

  4. A right circular cylinder having diameter 12 cm and height 15 cm is ...

    Text Solution

    |

  5. A solid is in the form of a cone standing on a hemi-sphere with both t...

    Text Solution

    |

  6. The diameter of a sphere is 6 cm. It is melted and drawn into a wire o...

    Text Solution

    |

  7. What is the ratio of the volume of a cube to that of a sphere which...

    Text Solution

    |

  8. A solid iron pole having cylindrical portion 110cm high and of base ...

    Text Solution

    |

  9. In the following diagram a rectangular platform with a semi-circular e...

    Text Solution

    |

  10. The cross-section of a tunnel is a square of side 7 m surmounted by a ...

    Text Solution

    |

  11. The cross-section of a tunnel is a square of side 7 m surmounted by a ...

    Text Solution

    |

  12. The cross-section of a tunnel is a square of side 7 m surmounted by a ...

    Text Solution

    |

  13. A cylindrical water tank of diameter 2.8 m and height 4.2 m is being f...

    Text Solution

    |

  14. Water flows, at 9 km per hour, through a cylindrical pipe of cross-sec...

    Text Solution

    |

  15. The given figure shows the cross-section of a cone, a cylinder and a h...

    Text Solution

    |

  16. A solid consisting of a right circular cone, standing on a hemisphere,...

    Text Solution

    |

  17. A metal container in the form of a cylinder is surmounted by a hemisph...

    Text Solution

    |

  18. A metal container in the form of a cylinder is surmounted by a hemisph...

    Text Solution

    |

  19. An exhibition tent is in the form of a cylinder surmounted by a cone. ...

    Text Solution

    |

  20. A test tube consists of a hemisphere and a cylinder of the same radius...

    Text Solution

    |

  21. A solid is in the form of a right circular cone mounted on a hemispher...

    Text Solution

    |