Home
Class 10
MATHS
A solid cone of base radius 10 cm is ...

A solid cone of base radius 10 cm is cut into two parts through the mid-point of its height, by a plane parallel to its base. Find the ratio in the volumes of two parts of the cone.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos
  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

Similar Questions

Explore conceptually related problems

A cone of radius 8 cm and height 12 cm is divided into two parts by a plane through the mid-point of its axis parallel to its base Find the ratio of the volumes of two parts

A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio of the volume of the smaller cone to the whole cone is:

A cone of radius 4 cm is divided into two parts by drawing a plane through the mid-point of its axis and parallel to its base. Compare the volumes of the two parts.

If a cone of radius 10cm is divided into two parts by drawing a plane through the mid-point of its axis, parallel to its base. Compare the volumes of the two parts.

A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio of the volume of the smaller cone to the whole cone is: 1:2 (b) 1:4 (c) 1:6 (d) 1:8

A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio of the volume of the smaller cone to the whole cone is: 1:2 (b) 1:4 (c) 1:6 (d) 1:8

A metallic right circular cone 20 cm high and whose vertical angle is 60^@ is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter 1/(16)c m find the length of the wire.

A solid metallic right circular cone 20 cm high with vertical angle 60o is cut into two parts at the middle point of its height by a plane parallel to the base. If the frustum, so obtained, be drawn into a wire of diameter 1/(16)\ c m , find the length of the wire.

A solid metallic right circular cone 20 cm high with vertical angle 60o is cut into two parts at the middle point of its height by a plane parallel to the base. If the frustum, so obtained, be drawn into a wire of diameter 1/(16)\ c m , find the length of the wire.

A right circular cone is divided by a plane parallel to its base in two equal volumes. In what ratio will the plane divide the axis of the cone?

RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. A solid is in the shape of a frustum of a cone. The diameters of th...

    Text Solution

    |

  2. A milk container is made of metal sheet in the shape of frustum of a c...

    Text Solution

    |

  3. A solid cone of base radius 10 cm is cut into two parts through the...

    Text Solution

    |

  4. A bucket open at the top, and made up of a metal sheet is in the form ...

    Text Solution

    |

  5. In Figure, from the top of a solid cone of height 12 cm and base radiu...

    Text Solution

    |

  6. A metallic sphere 1 dm in diameter is beaten into a circular sheet ...

    Text Solution

    |

  7. Three solid spheres of radii 3, 4 and 5 cm respectively are melted ...

    Text Solution

    |

  8. A spherical shell of lead, whose external diameter is 18 cm, is mel...

    Text Solution

    |

  9. A well with 10m inside diameter is dug 8.4m deep. Earth taken out o...

    Text Solution

    |

  10. In the middle of a rectangular field measuring 30 mxx20 m , a well ...

    Text Solution

    |

  11. The inner and outer radii of a hollow cylinder are 15 cm and 20 cm,...

    Text Solution

    |

  12. Two cylindrical vessels are filled with oil. Their radii are 15 cm,...

    Text Solution

    |

  13. A cylindrical bucket 28 cm in diameter and 72 cm high is full of wa...

    Text Solution

    |

  14. A cubic cm of gold is drawn into a wire 0.1 mm in diameter, find th...

    Text Solution

    |

  15. A well of diameter 3 m is dug 14 m deep. The earth taken out of it ...

    Text Solution

    |

  16. A conical vessel whose internal radius is 10 cm and height 48 cm is...

    Text Solution

    |

  17. The vertical height of a conical tent is 42 dm and the diameter of ...

    Text Solution

    |

  18. A cylinder and a cone have equal radii of their bases and equal hei...

    Text Solution

    |

  19. A sphere of diameter 5 cm is dropped into a cylindrical vessel part...

    Text Solution

    |

  20. A spherical ball of iron has been melted and made into smaller ball...

    Text Solution

    |