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

AI Generated Solution

To solve the problem of finding the number of small spherical balls that can be made from a solid sphere of radius 3 cm, we will follow these steps: ### Step 1: Calculate the Volume of the Larger Sphere The formula for the volume \( V \) of a sphere is given by: \[ V = \frac{4}{3} \pi R^3 \] where \( R \) is the radius of the sphere. ...
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE

    RD SHARMA ENGLISH|Exercise All Questions|129 Videos
  • TABULAR REPRESENTATION OF STATISTICAL DATA

    RD SHARMA ENGLISH|Exercise All Questions|70 Videos

Similar Questions

Explore conceptually related problems

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

A metallic sphere of radius 10.5 cm is melted and then recast into small cones each of radius 3.5 cm and height 3 cm. Find the number of cones thus formed.

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

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

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

A solid cube of edge 14 cm is melted down and recast into smaller and equal cubes each of edge 2 cm . Find the number of smaller cubes obtained.

A solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0.5 cm. Find the number of spheres formed.

A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 4 2/3 cm and height 3 cm. Find the number of cones so formed.

A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones, each of height 2 cm and diameter 1 cm. Find the number of cones formed.

RD SHARMA ENGLISH-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 c...

    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 vo...

    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 is...

    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 spher...

    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. Th...

    Text Solution

    |