Home
Class 12
MATHS
The radius of the internal and external ...

The radius of the internal and external surface of a hollow spherical shell are 3cm and 5cm respectively. If it is melted and recast into a solid cylinder of height `2 2/3c mdot` Find the diameter of the cylinder.

A

12 cm

B

7 cm

C

14 cm

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VOLUME AND SURFACE AREA

    ARIHANT PUBLICATION BIHAR|Exercise Exam Booster For Cracking Exam|42 Videos
  • TRIGONOMETRIC RATIOS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|25 Videos

Similar Questions

Explore conceptually related problems

The radii of the internal and external surfaces of a hollow spherical shell are 6 cm and 4 cm respetively. If it is melted and recast into a solid cylinder of height 4/3 cm, find the diameter of the cylinder

The radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid right circular cylinder of height 10 2/3 cm. Find the diameter of the base of the cylinder.

The diameters of the internal and external surfaces of a hollow spherical shell are 6 cm and 10 cm respectively. If it is melted and recast into a solid cylinder of diameter 14 cm, find the height of the cylinder.

The radii of internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid cylinder of diameter 14 cm. Find the height of the cylinder.

The diameters of the internal and external surfaces of a hollow spherical shell are 6 cm and 10 cm respectively. If it is melted and made of solid cylinder of length 8/3 cm, then the diameter (in cm) of the cylinder is- एक खोखले गोलाकार खोल की आंतरिक एवं बाहरी सतहों का व्यास क्रमशः 6 सेमी ओर 10 सेमी है। यदि इसे गलाकर 8/3 सेमी लंबाई का ठोस बेलन बनाया जाता है, तो बेलन का व्यास (सेमी में) कितना होगा?

The internal and external radii of a hollow sphere are 3 cm and 5 cm respectively. The sphere is melted to from a solid cylinder of height 2""2/3cm . Find the diameter and the curved surface area of the cylinder.

The inner and outer radii of a hollow cylinder are 15 cm and 20 cm, respectively. The cylinder is melted and recast into a solid cylinder of the same height. Find the radius of the base of new cylinder.

A metallic sphere of radius 5.6 cm is melted and recast into a shape of cylinder of radius 6cm. Find the height of the cylinder.

ARIHANT PUBLICATION BIHAR-VOLUME AND SURFACE AREA -Exam Booster For Cracking Exam
  1. A copper sphere of radius 3 cm is beaten and drawn into a wire of diam...

    Text Solution

    |

  2. The dimensions of a cinema hall are 100m, 50m and 18m. How many per...

    Text Solution

    |

  3. A class room is 7\ m\ long,\ 6. 5\ m\ w i d e\ a n d\ 4\ m\ h igh ....

    Text Solution

    |

  4. How many bricks each measuring 25 cm xx 15 cm xx 8 cm will be required...

    Text Solution

    |

  5. One cubic metre piece of copper is melted and recast into a square cro...

    Text Solution

    |

  6. Two cylinder cans have bases of the same size. The diameter of each...

    Text Solution

    |

  7. A solid cylinder has a total surface area of 231\ c m^2dot Its curv...

    Text Solution

    |

  8. The volume of a metallic cylindrical pipe is 784 cm^(3). Its length is...

    Text Solution

    |

  9. Given a solid cylinder of radius 10 cm and length 1000 cm a cylinder h...

    Text Solution

    |

  10. The radius and slant height of a cone are in the ratio of 4:7. If i...

    Text Solution

    |

  11. How many metres of cloth 50 m wide will be required to make a conical ...

    Text Solution

    |

  12. A sector containing an angle of 90^(@) is cut from a circle of radius ...

    Text Solution

    |

  13. If the area of the base of a cone is 770 cm^(2) and the area of the cu...

    Text Solution

    |

  14. A hollow sphere of internal and external diameters 4 cm and 8 cm re...

    Text Solution

    |

  15. A solid metallic cylinder of base 3 cm and height 5 cm is melted to ma...

    Text Solution

    |

  16. A solid consists of a circular cylinder with an exact fitting right...

    Text Solution

    |

  17. The radius of the internal and external surface of a hollow spherical ...

    Text Solution

    |

  18. The height of a right prism is 15 cm. Its base is a triangle with side...

    Text Solution

    |

  19. The base of a prism is a right angled triangle, the length of whose hy...

    Text Solution

    |

  20. A vessel in the form of a hemisphere surrounded by a cylinder (open at...

    Text Solution

    |