Home
Class 14
MATHS
A solid metallic sphere of radius 15cm m...

A solid metallic sphere of radius 15cm melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original and the sum of the surface area of the balls?
15 सेमी त्रिज्या का एक ठौस धात्विक क्षेत्र को पिघला कर त्रिज्या 3 सेमी के प्रत्येक गोलाकार गेंद बनाई जाती है । मूल सतह के क्षेत्रफल और गेंदों के सतह क्षेत्र के योग का अनुपात क्या है?

A

`1 : 5 `

B

`1 : 10`

C

`5 : 27`

D

`3 : 40`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MEAN, MEDIAN & MODE

    PINNACLE|Exercise EXERCISE|39 Videos
  • MIXTURE & ALLIGATION

    PINNACLE|Exercise EXERCISE|26 Videos
PINNACLE-MENSURATION-EXERCISE
  1. In a circle centred at O, AB is a chord and C is any point on AB, such...

    Text Solution

    |

  2. The areas of three adjacent faces of a cuboidal tank are 3 m^2, 12m^2 ...

    Text Solution

    |

  3. A solid metallic sphere of radius 15cm melted and recast into spherica...

    Text Solution

    |

  4. The radii of two right circular cylinders are in the ratio 3 : 2 and t...

    Text Solution

    |

  5. The base of a right pyramid is a square of a side 10cm. If its height ...

    Text Solution

    |

  6. The height of a cylinder is 30 cm and the diameter of its base is 10 c...

    Text Solution

    |

  7. Given that triangle DEF ~ triangle ABC, If the area of triangle ABC i...

    Text Solution

    |

  8. The curved surface area of a right cylinder is 3696 cm^2, Its height i...

    Text Solution

    |

  9. The perimeter of triangle ABC and triangle DEF are 43.2 cm and 28.8 cm...

    Text Solution

    |

  10. The area of the base of a right circular cone is 81 pi cm^2 and its he...

    Text Solution

    |

  11. The base of a right prism is a regular hexagon of side 5 cm. If its he...

    Text Solution

    |

  12. If the radius of the base of a right circular cylinder is increased by...

    Text Solution

    |

  13. A spherical metallic shell with 6 cm external radius weighs 6688 g, Wh...

    Text Solution

    |

  14. The sum of the radii of spheres A and B is 14 cm, the radius of A bein...

    Text Solution

    |

  15. The radius and height of a right circular cone are in ratio 3 : 4. If ...

    Text Solution

    |

  16. The length of two sides of a parallelogram are 3cm and 10 cm. What is ...

    Text Solution

    |

  17. If the radius of a sphere is increased by 2.5 decimeter (dm),then its ...

    Text Solution

    |

  18. A cylindrical roller made up of iron is 1.2m long. Its internal radius...

    Text Solution

    |

  19. The base of a solid prism of height 10cm is a square and its volume is...

    Text Solution

    |

  20. From a solid cylinder wooden block of height 18cm and radius 7.5cm, a ...

    Text Solution

    |