Home
Class 9
MATHS
The ratio of the volumes of a right circ...

The ratio of the volumes of a right circular cylinder and a right circular cone of the same base and the same height will be

A

`1 : 3`

B

`3 : 1`

C

`4 : 3`

D

`3 : 4`

Text Solution

Verified by Experts

The correct Answer is:
B
Required ratio `= (pir^(2)h)/((1)/(3) pi r^(2) h) = (3)/(1) = 3 : 1`
Promotional Banner

Topper's Solved these Questions

  • VOLUME AND SURFACE AREA OF SOLIDS

    RS AGGARWAL|Exercise Exercise 15D|28 Videos

  • TRIANGLES

    RS AGGARWAL|Exercise MULTIPLE-CHOICE QUESTIONS (MCQ)|10 Videos

Similar Questions

Explore conceptually related problems

The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height will be :

The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is (a) 1:3 (b) 3:1 (c) 4:3 (d) 3:4

Volume of a Right Circular Cone

If V_(1), V_(2) and V_(3) be the volumes of a right circular cone, a sphere and a right circular cylinder having the same radius and same height, then

The radii of the bases of a right circular cylinder and a right circular cone are equal. Their vertical heights are 7 cm and 14 cm respectively. Find the ratio of their volumes.

The ratio of the heights of a right circular cone and a right circular cylinder is 8:9 and the ratio of the radii of their bases is 3:4. If the volume of the cylinder is 132 cubic cm , then the volume (in cubic cm) of the cone is:

Find the ratio of the volume of a right circular cone to that of the volume of right circular cylinder, of equal diameter and height.

Volume of frustum of right circular cone

A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is

RS AGGARWAL-VOLUME AND SURFACE AREA OF SOLIDS-Multiple Choice Questions (Mcq)
  1. If the height of a cone is doubled then its volume is increased by

    Text Solution

    |

  2. The curved surface area of one cone is twice that of the other while t...

    Text Solution

    |

  3. The ratio of the volumes of a right circular cylinder and a right circ...

    Text Solution

    |

  4. A right circular cylinder and a right circular cone have the same radi...

    Text Solution

    |

  5. The radii of the bases of a cylinder and a cone are in the ratio 3 : 4...

    Text Solution

    |

  6. If the height and the radius of a cone are doubled, the volume of the ...

    Text Solution

    |

  7. A solid metallic cylinder of base radius 3 cm and height 5 cm is melte...

    Text Solution

    |

  8. A conical tents is to accommodate 11 person such that each person occu...

    Text Solution

    |

  9. The volume of a sphere of radius 2r is

    Text Solution

    |

  10. The volume of a sphere of radius 10.5 cm is

    Text Solution

    |

  11. The surface area of a sphere of radius 21 cm is

    Text Solution

    |

  12. The surface area of a sphere is 1386 cm^(2). Its volume is

    Text Solution

    |

  13. If the surface area of a sphere is (144 pi)m^(2) then its volume is

    Text Solution

    |

  14. The volume of a sphere is 38808 cm^(3). Its curved surface area is

    Text Solution

    |

  15. If the ratio of the volumes of two spheres is 1 : 8 then the ratio of ...

    Text Solution

    |

  16. A solid metal ball of radius 8 cm is melted and cast into smaller ball...

    Text Solution

    |

  17. A cone is 8.4 cm heigh and the radius of its base is 2.1 cm. It is mel...

    Text Solution

    |

  18. A solid lead ball of radius 6 cm is melted and then drawn into a wire ...

    Text Solution

    |

  19. A metallic sphere of radius 10.5 cm is melted and then react into smal...

    Text Solution

    |

  20. How many lead shots, each 0.3 cm in diameter, can be made from a cuboi...

    Text Solution

    |