Home
Class 10
MATHS
A right circular cylinder having diame...

A right circular cylinder having diameter 12 cm and height 15 cm is full of ice-cream. The ice-cream is to be filled in cones of height 12 cm and diameter 6 cm having a hemispherical shape on the top. Find the number of such cones which can be filled with ice-cream.

Text Solution

Verified by Experts

The correct Answer is:
`10`
Promotional Banner

Topper's Solved these Questions

  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (F)|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 container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice-cream. The ice-cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice-cream.

A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.

A right circular cylinder having diameter 12cm and height 15cm is full of ice-cream. The ice-cream is to be filled in cones of height 12cm and diameter 6cm having a hemispherical shape on the top. Find the number of such cones which can be filled with ice-cream.

A cone of height 15 cm and diameter 7 cm is mounted on a hemisphere of same diameter. Determine the volume of the solid thus formed.

A cylindrical vessel of height 24 cm and diamater 40 cm is full of water. Find the exact number of small cylindrical bottles, each of height 10 cm and diameter 8 cm, which can be filled with this water.

A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The whole ice-cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is four times the radius of its base, find the radius of the ice-cream cone.

A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The whole ice-cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is four times the radius of its base, find the radius of the ice-cream cone.

A solid cylinder of diameter 12cm and height 15cm is melted and recast into toys with the shape of a right circular cone mounted on a hemisphere of radius 3cm. If the height of the toy is 12cm, find the number of toys so formed.

A cylindrical container is filled with ice-cream, whose diameter is 12 cm and height is 15 cm. The whole ice-cream is distributed to 10 children in equal cones having hemispherical tops. If the height of the conical portion is twice the diameter of its base, find the diameter of the ice-cream.

A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones, each of height 2 cm and diameter 1 cm. Find the number of cones formed.

ICSE-CYLINDER, CONE AND SPHERE -EXERCISE 20 (G)
  1. What is the least number of solid metallic spheres, each of 6 cm diame...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |