Home
Class 12
MATHS
The height of a cylinder is equal to ...

The height of a cylinder is equal to the radius. If an error of `alpha%` is made in the height, then percentage error in its volume is `alpha%` (b) `2alpha%` (c) `3alpha%` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    RD SHARMA ENGLISH|Exercise All Questions|646 Videos
  • DIFFERENTIATION

    RD SHARMA ENGLISH|Exercise All Questions|806 Videos

Similar Questions

Explore conceptually related problems

The height of a cylinder is equal to the radius. If an error of alpha% is made in the height, then percentage error in its volume is alpha% (b) 2 alpha% (c) 3 alpha% (d) none of these

If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is (a) 2a% (b) a/2% (c) 3a% (d) none of these

If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is 2a% (b) a/2% (c) 3a % (d) none of these

If an error of k % is made in measuring the radius of a sphere, then percentage error in its volume. k% (b) 3k% (c) 3k% (d) k/3%

If an error of k% is made in measuring the radius of a sphere, then percentage error in its volume is (a) k% (b) 3k% (c) 2k% (d) k//3%

If the percentage error in the radius of a sphere is alpha , find the percentage error in its volume.

If the percentage error in the radius of a sphere is a , find the percentage error in its volume.

If errors of 1% each are made in te base radius and height of a cylinder, then the percentage error in its volume, is

If there is an error of k % in measuring the edge of a cube, then the percent error in estimating its volume is (a) k (b) 3k (c) k/3 (d) none of these

The error in the measurement of radius of a sphere is 0.4%. The percentage error in its volume is

RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. Find the approximate change in the surface area of a cube of side x...

    Text Solution

    |

  2. If the radius of a sphere is measured as 7 m with an error or 0.02 ...

    Text Solution

    |

  3. Find the approximate change in the volume of a cube of side x metre...

    Text Solution

    |

  4. For the function y=x^2 , if x=10 and x=0. 1 . Find y .

    Text Solution

    |

  5. If y=(log)e x , then find y when x=3 and x=0. 03 .

    Text Solution

    |

  6. If the relative error in measuring the radius of a circular plane i...

    Text Solution

    |

  7. If the percentage error in the radius of a sphere is alpha , find t...

    Text Solution

    |

  8. A piece of ice is in the form of a cube melts so that the percentag...

    Text Solution

    |

  9. If there is an error of 2% in measuring the length of simple pendulum,...

    Text Solution

    |

  10. If there is an error of a% in measuring the edge of a cube, then pe...

    Text Solution

    |

  11. If an error of k% is made in measuring the radius of a sphere, then...

    Text Solution

    |

  12. The height of a cylinder is equal to the radius. If an error of alp...

    Text Solution

    |

  13. While measuring the side of an equilateral triangle an error of k %...

    Text Solution

    |

  14. If (log)e4=1. 3868 , then (log)e 4.01= (a) 1.3968 (b) 1.3898 (c) 1.38...

    Text Solution

    |

  15. A sphere of radius 100 mm shrinks to radius 98 mm, then the approxi...

    Text Solution

    |

  16. If the ratio of base radius and height of a cone is 1:2 and percent...

    Text Solution

    |

  17. The pressure P and volume V of a gas are connected by the relation P V...

    Text Solution

    |

  18. If y=x^n , then the ratio of relative errors in ya n dx is 1:1 (b) 2...

    Text Solution

    |

  19. The approximate value of (33)^(1//5) is (a) 2.0125 (b) 2.1 (c) 2.01...

    Text Solution

    |

  20. The circumference of a circle is measured as 28cm with an error of ...

    Text Solution

    |