Home
Class 9
MATHS
If the radius of a sphere is doubled, wh...

If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of the second sphere?

Text Solution

Verified by Experts

Let the original radius be r
so the original volume ='4/3(πr^3)'
New radius= '2r'
so, new volume='4/3(π(2r)^3)'
Ratio
='{4/3(πr^3)}/{4/3(π8r^3)}'
='1/8'
so ratio = '1:8'
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

If the radius of a sphere is doubled, its volume becomes

The radius of a sphere is 21cm, what is the surface area of the sphere?

If the radius of a sphere is equal to the diameter of a hemisphere. Find the ratio of volume of sphere to that of the hemisphere.

A sphere of maximum volume is cut out from a solid hemisphere. What is the ratio of the volume of the sphere to that of the remaining solid?

If the radius of a sphere is doubled, its volume becomes _______ times the volume of original sphere.

The volume of a hemisphere is four times that of a sphere. Find the ratio of the radius of the hemisphere to that of the sphere.

The ratio of the volumes of a right circular cylinder and a sphere is 3 : 2. If the radius of the sphere is double the radius of the base of the cylinder, find the ratio of the total surface areas of the cylinder and the sphere. (a) 9 : 8 (b) 13 : 8 (c) 15 : 8 (d) 17 : 8

RD SHARMA-SURFACE AREA AND VOLUME OF A SPHERE -All Questions
  1. A cone, a hemisphere and a cylinder stand on equal bases and have t...

    Text Solution

    |

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

    Text Solution

    |

  3. If the radius of a sphere is doubled, what is the ratio of the volu...

    Text Solution

    |

  4. A spherical ball of lead 3cm in diameter is melted and recast into ...

    Text Solution

    |

  5. Find the surface area of a sphere of radius 7cm.

    Text Solution

    |

  6. Find the surface area and total surface area of a hemisphere of rad...

    Text Solution

    |

  7. The radius of a spherical balloon increases from 7cm to 14cm as air is...

    Text Solution

    |

  8. A sphere, a cylinder and a cone are of the same radius and same hei...

    Text Solution

    |

  9. Show that the surface area of a sphere is the same as that of the l...

    Text Solution

    |

  10. A right circular cylinder just encloses a sphere of radius r as sho...

    Text Solution

    |

  11. A hemispherical bowl is made of steel, 0.25 cm thick. The inner rad...

    Text Solution

    |

  12. The internal and external diameters of a hollow hemispherical vesse...

    Text Solution

    |

  13. The internal and external diameters of a hollow hemispherical vesse...

    Text Solution

    |

  14. A storage tank consists of a circular cylinder with a hemisphere ad...

    Text Solution

    |

  15. A toy is in the shape of a right circular cylinder with a hemispher...

    Text Solution

    |

  16. A wooden toy is in the form of a cone surmounted on a hemisphere. T...

    Text Solution

    |

  17. The diameter of a sphere is decreased by 25%. By what per cent does...

    Text Solution

    |

  18. Find the surface area of a sphere of radius: 10.5 cm         (ii...

    Text Solution

    |

  19. Find the surface area of a sphere of diameter: (i) 14 cm (ii) 21 cm (i...

    Text Solution

    |

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

    Text Solution

    |