Home
Class 10
MATHS
A sphere of greatest size is kept inside...

A sphere of greatest size is kept inside a cubical box. If the internal diamension of the box be a unit then the volume of the sphere is

A

3/4cu.unit

B

`4Pia^3` cu.unit

C

`(Pia^3)/(6)` cu.unit

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 the diameter of a sphere be 6 cm, then the volume of the sphere will be

If the whole surface area of a sphere be Pid^2 sq.unit, then the volume of the sphere be

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

If the volume of the solid sphere be 38808 c.c, then the radius of the sphere is

If the wole surface area of a sphere be 5544 sq-cm, then the volume of the sphere will be

If the whole surface area of a sphere be pir^(2) sq-uints, then the volume of the sphere will be

Find the volume of sphere of radius 6.3 cm

The total surface area of a sphere is 8Pi square unit. The volume of the sphere is____

If the radius of a solid sphere is r unit, the total surface area of the quarter sphere is

If the ratio of the curved surface area of two spheres b 4:9, then the ratio of the volumes of the spheres will be

UNITED BOOK HOUSE-Real life problem related to different solid objects-Exercise
  1. Multiple Choice Questions (MCQ) The number of spherical solids each 3c...

    Text Solution

    |

  2. A sphere of greatest size is kept inside a cubical box. If the interna...

    Text Solution

    |

  3. If the radius of a cylinder and hemisphere is same and their height is...

    Text Solution

    |

  4. The radius of a cylinder and a hemisphere is equal and their volumes a...

    Text Solution

    |

  5. The ratio of volumes of a solid right circular cone, a solid sphere an...

    Text Solution

    |

  6. The curved surface of a cylinder and a sphere of equal diameter are eq...

    Text Solution

    |

  7. The ratio of the volume of a cone and a cylinder is 1 : 2 and the rati...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |