Home
Class 11
MATHS
The radius and height of a cylinder are ...

The radius and height of a cylinder are measured as 5 cm and 10 cm respectively and there is an error of 0.02 cm in both the measurements. The percentage error in volume is

A

1

B

0.01

C

0.001

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|43 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise SOLVED EXAMPLES|12 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|6 Videos

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|57 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

The radius and height of a cylinder are measured as 5 cm and 10 cm respectively and there is an error of 0.02 cm in both the measurements. The approximate error in the volume is

The radius and height of a cone are measured as 6 cm and 12 cm respectively and there is an error of 0.06 cm in both the measurements. The approximate ewrror in the volume of the cone is

The radius and height of a cone are measured as 8 cm, 8cm by a scale in which there is an error of 0.01cm in each cm. The error in the volume of the cone is

The radius and height of a cone are measured as 6cms each by scale in which there is an error of 0.01 cm in each cm. Then the approximate error in its volume is

If there is an error of 0.05cm in the measurement of the side as 2cm of a cube, then relative error in the volume is

The length and breadth of a rectangular are 25 cm and 10 cm respectively and were measured to an accuracy of 0.1 cm. The percentage error in area is

AAKASH SERIES-ERRORS AND APPROXIMATIONS-EXERCISE-I
  1. A circular hole of 4 mm in diameter and 12 mm deep in a metal block is...

    Text Solution

    |

  2. If there is an error 0.01 cm in the measurement of the radius 10 cm of...

    Text Solution

    |

  3. The radius and height of a cylinder are measured as 5 cm and 10 cm res...

    Text Solution

    |

  4. The radius of a closed cylinder is half of its height. If an error of ...

    Text Solution

    |

  5. If there is an error of 0.05 cm while measuring the side of an equilat...

    Text Solution

    |

  6. The semi vertical angle of a cone is 45^(@). The height of the cone is...

    Text Solution

    |

  7. If errors of 1% each are made in the base radius and height of a cylin...

    Text Solution

    |

  8. The approximate change in the total surface area of a right circular c...

    Text Solution

    |

  9. The radius and height of a cone are measured as 6 cm and 12 cm respect...

    Text Solution

    |

  10. If there is an error of 0.05 cm in the side of a cube 10 cm then the e...

    Text Solution

    |

  11. If there is an error of 1 % is made in the side of a cube then the per...

    Text Solution

    |

  12. If a, b, c are the sides of DeltaABC, inscribed in a given circle, th...

    Text Solution

    |

  13. If in a triangle the side a and the angle A remain constant, while oth...

    Text Solution

    |

  14. An electric current is measured by a tangent galvonometer, the current...

    Text Solution

    |

  15. The angle C of DeltaABC is found by measurement to be 47^(@) and the ...

    Text Solution

    |

  16. The focal length of a mirror is given by (1)/(v)-(1)/(u)=(2)/(f). If e...

    Text Solution

    |

  17. The percentage error in measuring the radius of a sphere is 1%. If S(1...

    Text Solution

    |

  18. In measuring the vertical angle of the sector of a circle of radius 30...

    Text Solution

    |

  19. Match the percentage error of the following and choose correct ansere

    Text Solution

    |

  20. Assertion (A) : For a cone, if r=6 cm, h=12 cm and deltar=deltah=0.06 ...

    Text Solution

    |