Home
Class 14
MATHS
If the radius of a sphere is increased b...

If the radius of a sphere is increased by 4 cm, its surface area is increased by `464 pi cm^2`. What is the volume (in `cm^3`) of the original sphere ?
यदि किसी गोले की त्रिज्या 4 सेमी से बढ़ा दी जाए, तो इसका पृष्ठ क्षेत्रफल `464 pi` वर्ग सेमी से बढ़ जाता है | आरंभिक गोले का आयतन ( घन सेमी में ) क्या था ?

A

`15625/6 pi`

B

`35937/8 pi`

C

`11979/2 pi`

D

`15625/8 pi`

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. The internal and external radii of a hollow hemispherical vessel are 6...

    Text Solution

    |

  2. Three solid metallic spheres whose radii are 1cm, x cm and 8 cm, are m...

    Text Solution

    |

  3. If the radius of a sphere is increased by 4 cm, its surface area is in...

    Text Solution

    |

  4. The volume of a right pyramid is 45 sqrt3 cm^3 and its base is an equi...

    Text Solution

    |

  5. The area of the base of a right circular cone is 400 pi and its height...

    Text Solution

    |

  6. The base of a right prism is a triangle with sides 20 cm, 21 cm and 29...

    Text Solution

    |

  7. A cylindrical vessel of radius 3.5 m is full of water. If 15400 litres...

    Text Solution

    |

  8. A solid metallic sphere of radius 8 cm is melted and drawn into a wire...

    Text Solution

    |

  9. The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference...

    Text Solution

    |

  10. The base of a right pyramid is an equilateral triangle with side 8 cm,...

    Text Solution

    |

  11. If the diameter of the base of a right circular cylinder is reduced by...

    Text Solution

    |

  12. A right circular solid cone of radius 3.2 cm and height 7.2 cm is melt...

    Text Solution

    |

  13. A hemispherical bowl of internal diameter 36 cm is full of a liquid. T...

    Text Solution

    |

  14. A solid cube is cut into three cuboids of same volumes. What is the ra...

    Text Solution

    |

  15. If the curved surface area of a solid cylinder is one-third of its tot...

    Text Solution

    |

  16. A field roller, in the shape of a cylinder, has a diameter of 1 m and ...

    Text Solution

    |

  17. If the volume of a sphere is 4851 cm^3,then the surface area (in cm^2)...

    Text Solution

    |

  18. N solid metallic spherical balls are melted and recast into a cylindri...

    Text Solution

    |

  19. The radius of the base of a right circular cylinder is increased by 20...

    Text Solution

    |

  20. The radius and the height of a right circular cone are in the ratio 5 ...

    Text Solution

    |