Home
Class 14
MATHS
The radius of a wire is decreased to one...

The radius of a wire is decreased to one-third. If volume remains the same, length will increase by ?

A

1 time

B

3 times

C

6 times

D

9 times

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • UNITARY METHOD

    UPKAR PUBLICATION |Exercise QUESTION BANK|15 Videos

Similar Questions

Explore conceptually related problems

The radius of a wire is decreased to one-third. If volume remains the same, the length will become 3 times (b) 6 times (c) 9 times (d) 27 times

The radius of an iron rod decreased to one-fourth. If its volume remains constant , the length will becomes :

When a uniform wire of radius r is stretched by a 2kg weight, the increase in its length is 2.00 mm . If the radius of the wire is r//2 and other conditions remain the same, the increase in its length is

A wire of length L and radius r is clamped at one end. If its other end is pulled by a force F, its length increases by l . If the radius of the wire and the applied force both are reduced to half of their original values keeping original length constant. Find the ratio of the change in length of first wire versus second wire?

If the diameter of the cross-section of a wire is decreased by 5% ,how much percent will the length increased if volume remains the same.

If the diameter of cross-section of a wire is decreased by 5% how much percent will the length be increased so that the volume remains the same?

If the diameter of cross-section of a wire is decreased by 5%, by how much percent should the length be increased so that the volume remains the same?

UPKAR PUBLICATION -VOLUME AND SURFACE AREA-QUESTION BANK
  1. The number of solid spheres, each of diameter 6 cm that could be mo...

    Text Solution

    |

  2. The length of the wire of 0.2 cm radius that can be drawn after meltin...

    Text Solution

    |

  3. The radius of a wire is decreased to one-third. If volume remains the ...

    Text Solution

    |

  4. The height of a cylinder is 14 cm and its curved surface area is 264 c...

    Text Solution

    |

  5. The height of a cylinder is 80 cm and the diameter of its base is 7 cm...

    Text Solution

    |

  6. The area of the cardboard needed to make a box is size 25cmxx15cmxx8cm...

    Text Solution

    |

  7. The dimensions of an open box are 52 c mxx40 c mxx29 c m . Its t...

    Text Solution

    |

  8. If the volumes of two cones are in the ratio 1:4 and their diameter...

    Text Solution

    |

  9. If a right circular cone of height 24 cm has a volume of 1232 cm^3. th...

    Text Solution

    |

  10. A radius of the base of a right circular cone is 6 cm and its slant he...

    Text Solution

    |

  11. A cylindrical piece of metal of radius 2 cm and height 6 is shaped int...

    Text Solution

    |

  12. A cylindrical vessel 60 cm in diameter is partially filled with water....

    Text Solution

    |

  13. The ratii of two cylinders are in the ratio 2 : 3 and their heights ar...

    Text Solution

    |

  14. The ratio of the total surface area to the lateral surface area of a c...

    Text Solution

    |

  15. If the volume and surface area of a sphere are numerically the same, t...

    Text Solution

    |

  16. A spherical ball of lead 3 cm in diameter is melted and re casted into...

    Text Solution

    |

  17. How many bullets can be made out of a cube of lead whose edge measu...

    Text Solution

    |

  18. A spherical lead ball of radius 10 cm is melted and small lead balls o...

    Text Solution

    |

  19. Two circular cylinders of equal volume have their heights in the ratio...

    Text Solution

    |

  20. The radii of two spheres are in the ratio 1 : 2. Find the ratio of the...

    Text Solution

    |