Home
Class 10
MATHS
The volume of a sphere is 4/3Pir^3 cubic...

The volume of a sphere is `4/3Pir^3` cubic unit. The sphere is inscribed in a cube. The ratio of the volumes of the cube and the sphere is

A

4 : `Pi`

B

6 : `Pi`

C

8 : `Pi`

D

none of these.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Ratio and proportion

    UNITED BOOK HOUSE|Exercise Exercise |31 Videos

  • Rectangular Parallelopiped Cuboid

    UNITED BOOK HOUSE|Exercise Exercise |26 Videos

Similar Questions

Explore conceptually related problems

if a sphere occupies maximum space of a cube, then ratio of the volume of the sphere and cube is

The diameter of a hemisphere is diameter of a sphere. Then the ratio of the volumes of sphere and hemisphere is

The volume of a solid sphere of radius 2r units is

If the volume of a sphere be V cubic-units, then the radius of the sphere will be

Find the volume of sphere of radius 6.3 cm

The volume of a solid sphere of diameter R is

The ratio of radi of two sphere is 2: 3 Find the ratio of their volumes.

UNITED BOOK HOUSE-Real life problem related to different solid objects-Exercise
  1. The ratio of the volume of a cone and a cylinder is 1 : 2 and the rati...

    Text Solution

    |

  2. if the base and volume of a cone and a hemisphere are equal, then find...

    Text Solution

    |

  3. The volume of a sphere is 4/3Pir^3 cubic unit. The sphere is inscribed...

    Text Solution

    |

  4. A solid right circular cylinder of diameter 16cm. And height 2cm. Is m...

    Text Solution

    |

  5. The maximum volume of a cone that can be carved out of a solid hemisph...

    Text Solution

    |

  6. The material of a cone is converted into the shape of a cylinder of eq...

    Text Solution

    |

  7. A solid sphere of radius r is melted and cast into the shape of a soli...

    Text Solution

    |

  8. A cylindrical vessel 32 cm high and 18 cm as the radius of the base, i...

    Text Solution

    |

  9. A solid is hemispherical at the bottom and conical above. If the surfa...

    Text Solution

    |

  10. A metallic sphere of radius 10.5 cm is melted and then recast into sma...

    Text Solution

    |

  11. Water flows at the rate of 10 m/min from a cylinderical pipe 5 mm in d...

    Text Solution

    |

  12. A right trainlewith sides 3 cm, 4 cm and 5 cm is rotated about the sid...

    Text Solution

    |

  13. The volume of the greatest sphere that can be cutt off from a cylindri...

    Text Solution

    |

  14. A solid piece of iron of dimensions 49 times 33 times 24 cm is moulded...

    Text Solution

    |

  15. A right circular cylinder of radius r and height h (h > 2r) just enclo...

    Text Solution

    |

  16. The radii of the circular ends of a frustum are 6 cm and 14 cm. If its...

    Text Solution

    |

  17. The height and radius of the cone of which the frustum is a part are h...

    Text Solution

    |

  18. If four times the sum of the areas of two circular faces of a cylinder...

    Text Solution

    |

  19. If S1 and S2 be the surface area of a sphere and the curved surfae are...

    Text Solution

    |

  20. A conical cap is filled with ice cream. The ice cream forms a hemi-sph...

    Text Solution

    |