Home
Class 9
MATHS
The larges sphere is carved out of a cub...

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

Text Solution

Verified by Experts


Diameter of the largest sphere`=10.5cm`
`r=10.5/2cm=>r=5.25cm`
Volume of sphere`=4/3xx22/7xx(5.25)^3cm^3`
`=>4/3xx22/7xx(21/4)^3cm^3`
`(11xx441)/8cm^3=606.375cm^3`
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

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

The largest sphere is carved out of a cube of a side 7 cm. Find the volume of the sphere.

The largest sphere is carved out of a cube of a side 7cm. Find the volume of the sphere.

The largest sphere is carved out of a cube of side 7cm . What is the volume of the sphere in cm^3 (Take pi =(22)/(7) )

The largest sphere is carved out of a cube of side 7 cm. The volume of the sphere (in cm^(3) ) will be

The largest sphere is curved out from a cube of side 21 cm. The volume of remaining part is (A) 4770 cm^3 (B) 4410 cm^3 (C) 4370 cm^3 (D) None of these

The largest possible sphere is carved out of a wooden solid cube of side 7cm. Find the volume of the wood left.(Use pi=(22)/(7))

Find the volume of the greatest sphere that can be cut of a cube of side 14cm. find also the volume of the remaining piece.

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 th...

    Text Solution

    |

  2. A cylindrical tub of radius 12 cm contains water to a depth of 20 cm...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |