Home
Class 9
MATHS
A solid sphere of radius 3cm is melted a...

A solid sphere of radius 3cm is melted and then cast into small sphereical balls each of diameter 0.6 cm. Find the number of balls thus obtained.

Text Solution

Verified by Experts

`r_B=3cm`
`r_s=0.6/2=-0.3`
`V_B=V_S`
Volume of sphere`=4/3pir^3`
`4/3pi3^3=n*4/3*pi*0.3^3`
`27=n(3/10)^3`
`n=1000`.
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 solid sphere of radius 3 cm is melted and then recast into small spherical balls each of diameter 0.6 cm. Find the number of balls.

A solid sphere of radius 3cm is melted and then cast into small spherical balls each of diameter 0.6cm. Find the number of balls thus obtained.

A solid sphere of radius 3 cm is melted and then cast into smaller spherical balls, each of diameter 0.6 cm. Find the number of small balls thus obtained.

A metallic sphere of radius 4 cm is melted and the cast into small spherical balls, each of diameter 0.4 cm. The number of small balls will be:

A solid metallic sphere of radius 8cm is melted and recast into spherical balls each of radius 2cm. The number of spherical balls, thus obtained,is (a) 16 (b) 48 (c) 64quad (d) 82

A solid hemisphere of radius 8cm is melted and recast into x sphere of radius 2cm each. Find x

A solid sphere of radius 10.5cm is melted and recast into smaller solid cones,each of radius 3.5cm and height 3cm. Find the number of cones so formed.(Use pi=(22)/(7))

A solid sphere of radius 10.5 cm is melted and recast into smaller solid cones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formed.

A solid metal ball of radius 8 cm is melted and cast into smaller balls, each of radius 2 cm. The number of such balls is

A solid metal cone with radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. Find the number of balls thus formed.

RD SHARMA-SURFACE AREA AND VOLUME OF A SPHERE -All Questions
  1. A solid sphere of radius 3cm is melted and then cast into small sph...

    Text Solution

    |

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

    Text Solution

    |

  3. A measuring jar of internal diameter 10cm is partially filled with ...

    Text Solution

    |

  4. A hemisphere of lead of radius 7 cm is cast into a right circular cone...

    Text Solution

    |

  5. The diameter of the moon is approximately one fourth of the diamete...

    Text Solution

    |

  6. A cube of side 4cm contains a sphere touching its side. Find the volum...

    Text Solution

    |

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

    Text Solution

    |

  8. A cube of side 4 cm contains a sphere touching its side . Find the ga...

    Text Solution

    |

  9. The dome of a building is in the form of a hemisphere. Its radius i...

    Text Solution

    |

  10. Assuming the earth to be a sphere of radius 6370 km, how many squar...

    Text Solution

    |

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

    Text Solution

    |

  12. The diameter of the moon is approximately one fourth of the diamete...

    Text Solution

    |

  13. The front compound wall of a house is decorated by wooden spheres of...

    Text Solution

    |

  14. A hemispherical bowl is made of steel 0.5 cm thick. The inside radi...

    Text Solution

    |

  15. The volume of the two spheres are in the ratio 64:27. Find the diff...

    Text Solution

    |

  16. A cylinder of radius 12cm contains water to a depth of 20cm. A sphe...

    Text Solution

    |

  17. A vessel in the form of a hemisphereical bowl is full of water. The...

    Text Solution

    |

  18. A dome of a building is in the form of a hemisphere. From inside, i...

    Text Solution

    |

  19. Twenty seven solid iron spheres, each of radius r and surface area S a...

    Text Solution

    |

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

    Text Solution

    |