Home
Class 10
MATHS
A solid consisting of a right circular c...

A solid consisting of a right circular cone, standing on a hemisphere, is placed upright, in a right circular cylinder, full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm, the radius of the hemisphere is 2 cm and the height of the cone is 4 cm. Give your answer correct to the nearest centimetre
( Take ` pi = 3 (1)/(7)) `

Text Solution

Verified by Experts

The correct Answer is:
136 `cm^(3)`
Promotional Banner

Topper's Solved these Questions

  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revisions Exercise Very Short Answer Questions|10 Videos

  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revisions Exercise Short Answer Questions|10 Videos

  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/exemplar|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Questions|1 Videos

Similar Questions

Explore conceptually related problems

A solid consisting of a right standing on a hemisphere is placed upright in a right circular cylinder full of water and touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm, the radius of the hemisphere is 60 cm and height of the cone is 120 cm, assuming that the hemisphere and the cone have common base.

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

A solid right circular cone of height 120 cm and radius 60 cm is placed in a right circular cylinder full of water of height 180 cm.Such that it touhces the bottom .Find the volume of water of left in the cylinder, if the radius of the cylinder is equal to the radius to the cone.

The largest sphere is to be curved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.

The largest sphere is to be curved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.

The height of a circular cylinder is 20 cm and the radius of its base is 7 cm. Find : the volume

The diameter of the base of a right circular cylinder is 42cm and its height is 10cm. Find the volume of the cylinder.

A hemispherical and a conical hole are scooped out of a solid wooden cylinder. Find the volume of the remaining solid where the measurements are as as given alongside : The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm. Give your answer correct to the nearest whole number. Take pi=(22)/(7) .

The height of a right circular cone is 7 cm and radius is 24 cm. Find the slant height of the cone.

NAGEEN PRAKASHAN ENGLISH-VOLUME AND SURFACE AREA OF SOLIDS-Exercise
  1. An exhibition tent is in the form of a cylinder surmounted by a cone. ...

    Text Solution

    |

  2. A pen stand made of wood is in the shape of a cuboid with four conica...

    Text Solution

    |

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

    Text Solution

    |

  4. An iron pillar has some part in the form of a right circular cylind...

    Text Solution

    |

  5. A solid is in the form of a cylinder with hemispherical ends. Total...

    Text Solution

    |

  6. A right cylinder , a right cone and a hemishpere have the same heightr...

    Text Solution

    |

  7. From a circular cylinder of diameter 10 cm and height 12 cm a conical...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the volume of the larges right circular cone that can be cut o...

    Text Solution

    |

  10. From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical c...

    Text Solution

    |

  11. A wooden toy is in the shape of a cone mounted on a cylinder as shown ...

    Text Solution

    |

  12. A sphere just fits in a cylindrical vessel and the height of the cylin...

    Text Solution

    |

  13. A room in the form of a cylinder surmounted by a hemisphere valuted do...

    Text Solution

    |

  14. In a hospital used water is collected in a cylindrical tank of diamete...

    Text Solution

    |

  15. Three metal cubes with edges 6cm , 8cm and 10cm respectively are melte...

    Text Solution

    |

  16. Six cubes each of side 12 cm are joined end to end .Find the surface a...

    Text Solution

    |

  17. 2 cubes each of volume 64"\ "c m^3 are joined end to end. Find the ...

    Text Solution

    |

  18. 40 circular plates each of radius 7 cm and thickness 1.5 cm are placed...

    Text Solution

    |

  19. A right circular cone is 8 cm high and radius of its base is 2 cm .The...

    Text Solution

    |

  20. A girl fills a cylindrical bucket 32 cm in height and 18 cm in radius ...

    Text Solution

    |