Home
Class 10
MATHS
The radius and height of a cone are 12 c...

The radius and height of a cone are 12 centimetres, and 6 centimetres respectively.
a) What is its volume?
b) If this cone is, cut parallel to its base, along the midpoint of its height,what is. the radiús of the small cone obtained?
c) What is the volume of the small cone?
d) Find the ratio of the volumes of the small cone and the first cone.

Promotional Banner

Topper's Solved these Questions

  • SECOND DEGREE EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|61 Videos

  • STATISTICS

    V PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

The radius and height of a cone are 12 centimetres and 6 centimetres respectively.What is its volume?

The radius and height if a cone are 12 centimetres and 6 centimetres respectively. What is the volume of the small cone?

The radius and height if a cone are 12 centimetres and 6 centimetres respectively. If this cone is cut parallel to its base, along the midpoint of its height, what is the radius of the small cone obtained?

The length, breadth and height of a brick are 21 centimetres, 15 centimetres and 7 centimetres. What is its volume?

The base-radius and height of a cylindrical block of wood are 15 centimetres and 40 centimetres. What is the volume of the largest cone that can be carved out of this?

The slant height of a square pyramid is 25 centimetres and its surface area is 896 square centimetres.What isits volume?

The base perimeter of a cone is '12 pi' centimeter and height be '8 cm'. What is its slant height?

What is the volume of the cone of maximum size that can be carved from a cube of edge 12 centimetres?

All edges of a square pyramid are 18 centimetres. What is its volume?

A cicular sheet of paper is devided into two sectors. Central angle of one of them is 160^o .If the radius of the small cone is 8 centimetres What is the slant height of the cones?

V PUBLICATION-SOLIDS-QUESTION BANK
  1. A solid hemisphere of wax with radius 12 centimetres is melted and mad...

    Text Solution

    |

  2. A top is in the shape of a hemisphere of equal radius joined to the ba...

    Text Solution

    |

  3. A metallic sphere of radius '4 cm' is melted and recast. How many smal...

    Text Solution

    |

  4. The given figure is the lateral face of a square pyramid 'A B=A C=25' ...

    Text Solution

    |

  5. A cicular sheet of paper is devided into two sectors. Central angle of...

    Text Solution

    |

  6. Radius of a cylinder is equal to its height. If the radius is taken as...

    Text Solution

    |

  7. The radius and height of a cone are 12 centimetres, and 6 centimetres ...

    Text Solution

    |

  8. If a square is inscribed in a circle of diameter 4 cm, what will be th...

    Text Solution

    |

  9. A solid is made by fixing a hemisphere of same radius on the flat face...

    Text Solution

    |

  10. The perimeter of the base of a square pyramid is '96 cm' and its heigh...

    Text Solution

    |

  11. A circular sheet with radius '36 cm is divided into four equal sector...

    Text Solution

    |

  12. The picture shows the shape of a boiler. Total height of the boiler is...

    Text Solution

    |

  13. The radius of two spherical tanks are in the ratio '3: 4'. The volume ...

    Text Solution

    |

  14. A square pyramid of base edge 10 centimetres and height 12 centimetres...

    Text Solution

    |

  15. A cone is made from a sector of radius 10 centimetre and central angle...

    Text Solution

    |

  16. All edges of a square pyrảmid are of sàme léngth and height is 6 sqrt2...

    Text Solution

    |

  17. A sector with central angle '120 degree is cut and removed. from a cir...

    Text Solution

    |

  18. All the 8 edges of a pyramid are of equal length. If the length of one...

    Text Solution

    |

  19. The slant height of a square pyramid is 13 'cm' and the length of the ...

    Text Solution

    |

  20. The base perimeter of a cone is '12 pi' centimeter and height be '8 cm...

    Text Solution

    |