Home
Class 10
MATHS
An iron spherical ball has been melte...

An iron spherical ball has been melted and recast into smaller balls of equal size. If the radius of each of the smaller balls is `1//4` of the radius of the original ball, how many such balls are made? Compare the surface area, of all the smaller balls combined together with that of the original ball.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos

  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

Similar Questions

Explore conceptually related problems

A spherical ball of iron has been melted and made into smaller balls. If the radius of each smaller ball is one-fourth of the radius of the original one, how many such balls can be made?

A spherical ball of lead has been melted and made in to smaller balls of half the radius of the original one. How many balls can be made?

A solid spherical ball of radius 6 cm is melted and recast into 64 identical spherical marbles. Find the radius of each marble.

A spherical ball of lead has been melted and made into identical smaller balls with radius equal to half the radius of the original one. How many such balls can be made ?

A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of the balls are 1.5 cm and 2 cm. Find the diameter of the third ball.

A spherical ball of lead 3cm in diameter is melted and recast into three spherical balls. If the diameters of two balls be 3/2c m and 2cm, find the diameter of the third ball.

A spherical ball of lead 3cm in diameter is melted and recast into three spherical balls. If the diameters of two balls be 3/2c m and 2cm, find the diameter of the third ball.

The radius of a spherical ball of iron is 1.5 cm. It is melted and recast into three spherical balls. If the radii of two such balls are 0.75 cm and 1 cm, then find the radius of 3rd ball.

A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of the balls will be

The radius of a sphericla ball of iron is 1.5 cm .It is melted and recast into three sperical balls .If the radii of two such balls are 0.75 cm and 1 cm , then find the radius of 3rd ball .

RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. A spherical ball of radius 3 cm is melted and recast into three sph...

    Text Solution

    |

  2. The diameter of a metallic sphere is equal to 9 cm. It is melted an...

    Text Solution

    |

  3. An iron spherical ball has been melted and recast into smaller ball...

    Text Solution

    |

  4. A tent of height 77 dm is in the form a right circular cylinder of ...

    Text Solution

    |

  5. Metal spheres, each of radius 2 cm, are packed into a rectangular b...

    Text Solution

    |

  6. The largest sphere is to be curved out of a right circular cylinder...

    Text Solution

    |

  7. A copper sphere of radius 3 cm is melted and recast into a right ci...

    Text Solution

    |

  8. A copper rod of diameter 1 cm and length 8 cm is drawn into a wire ...

    Text Solution

    |

  9. The diameters of the internal and external surfaces of a hollow sph...

    Text Solution

    |

  10. A right angled triangle whose sides are 3 cm, 4 cm and 5 cm is revo...

    Text Solution

    |

  11. How many coins 1.75 cm in diameter and 2 mm thick must be melted to...

    Text Solution

    |

  12. A well with inner diameter 8 m is dug 14 m deep. Earth taken out of...

    Text Solution

    |

  13. Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed ...

    Text Solution

    |

  14. A farmer connects a pipe of internal diameter 20 cm from a canal int...

    Text Solution

    |

  15. A well of diameter 3 m is dug 14 m deep. The earth taken out of it ...

    Text Solution

    |

  16. The surface area of a solid metallic sphere is 616\ c m^2 . It is ...

    Text Solution

    |

  17. The difference between the outer and inner curved surface areas of ...

    Text Solution

    |

  18. The volume of a hemi-sphere is 2425 1/2\ c m^3 . Find its curved...

    Text Solution

    |

  19. A cylindrical bucket, 32 cm high and with radius of base 18 cm, is ...

    Text Solution

    |

  20. If the total surface arecl of a solid hemisphere is 462 cm^ 2 find its...

    Text Solution

    |