Home
Class 9
MATHS
A sphere, a cylinder and a cone have the...

A sphere, a cylinder and a cone have the same radius and same height. Find the ratio of their volumes.

Text Solution

Verified by Experts


Volume of the sphere`=4/3pir^3`
Volume of the cylinder`=pir^2h`
Volume of the cone`=1/3pir^2h`
ration of their volume `=4/3pir^3:pir^2h:1/3pir^2h(h=2r)`
`=>4/3pir^3:pir^2(2r):1/3pir^2(2r)`
`=>4pir^3:3xx2pir^3:2pir^3`(Multiply by 3)
`=>4r^3:6r^3:2r^3`
`4:6:2`
`2:3:1`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE

    RD SHARMA|Exercise All Questions|128 Videos
  • TABULAR REPRESENTATION OF STATISTICAL DATA

    RD SHARMA|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

A sphere,a cylinder and a cone are of the same radius and same height.Find the ratio of their curved surface.

A cylinder and a cone are of same base radius and of same height. Find the ratio of the volumes of cylinder to that of the cone.

A cylinder and a cone are of the same base radius and of same height. Find the ratio of the value of the cylinder to that of the cone

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the ratio of their volumes?

A cylinder, a cone and a hemisphere are of same base and have same height. The ratio of their volumes is

A sphere, a cylinder and a cone having same radius and height of cylinder and cone are equal to diameter of sphere. Ratio of their volume are

A cone and a cylinder have equal bases and heights.Then find the ratio of the corresponding volumes

RD SHARMA-SURFACE AREA AND VOLUME OF A SPHERE -All Questions
  1. A cylindrical tub of radius 12 cm contains water to a depth of 20 cm...

    Text Solution

    |

  2. The larges sphere is carved out of a cube of side 10.5 cm. Find the ...

    Text Solution

    |

  3. A sphere, a cylinder and a cone have the same radius and same height. ...

    Text Solution

    |

  4. The diameter of a sphere is decreased by 25%. By what percent its cu...

    Text Solution

    |

  5. A hemispherical tank is made up of an iron sheet 1 cm thick. If the ...

    Text Solution

    |

  6. A capsule of medicine is in the shape of a sphere of diameter 3.5 mm....

    Text Solution

    |

  7. The diameter of the moon is approximately one-fourth of the diameter...

    Text Solution

    |

  8. Find the surface area of a sphere of radius 14cm.

    Text Solution

    |

  9. Find the total surface area of a hemisphere of radius 10 cm

    Text Solution

    |

  10. Find the radius of a sphere whose surface area is 154\ c m^2

    Text Solution

    |

  11. The hollow sphere, in which the circus motorcyclist performs his stu...

    Text Solution

    |

  12. Find the volume of a sphere whose surface area is 154 c m^2

    Text Solution

    |

  13. How many spherical bullets can be made out of a solid cube of lead who...

    Text Solution

    |

  14. If a sphere of radius 2r has the same volume as that of a cone wit...

    Text Solution

    |

  15. A metallic spherical shell of internal and external diameters 4 cm and...

    Text Solution

    |

  16. The surface area of a sphere of radius 5 cm is five times the curved s...

    Text Solution

    |

  17. In a sphere is inscribed in a cube, find the ratio of the volume of ...

    Text Solution

    |

  18. In a sphere the number of faces is 1         (b)  2      (c)  3 ...

    Text Solution

    |

  19. The total surface area of a hemisphere of radius r is pir^2 (b) 2pi...

    Text Solution

    |

  20. The ratio of the total surface area of a sphere and a hemisphere of ...

    Text Solution

    |