Home
Class 12
MATHS
If there is an error of a% in measuring ...

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

Text Solution

AI Generated Solution

To solve the problem of finding the percentage error in the surface area of a cube when there is an error of \( a\% \) in measuring the edge, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Problem**: We know that the edge of the cube is measured with an error of \( a\% \). We need to find the percentage error in the surface area of the cube. 2. **Let the Edge Length be \( x \)**: ...
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

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 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

If there is an error of 2% in measuring the length of simple pendulum, then percentage error in its period is: (a) 1% (b) 2% (c) 3% (d) 4%

If there is an error of 2% in measuring the length of simple pendulum, then percentage error in its period is: 1% (b) 2% (c) 3% (d) 4%

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%

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

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

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 edge of a cube is 1, then error in its volume, is

There is an error of 0.2% in measurment of the redius of a sphere. Find the percentage error in its (i) volume, (ii) surface.

RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. If a triangle ABC, inscribed in a fixed circle, be slightly varied in ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The height of a cylinder is equal to the radius. If an error of alpha%...

    Text Solution

    |

  6. A sphere of radius 100mm shrinks to radius 98mm, then the approximate ...

    Text Solution

    |

  7. If (log)e4-1. 3868 ,t h e n(log)e 4.01= 1.3968 (b) 1.3898 (c) 1.38...

    Text Solution

    |

  8. Find the percentage error in calculating the volume of a cubical box i...

    Text Solution

    |

  9. The approximate value of (33)^(1/5) is

    Text Solution

    |

  10. Use differentials to approximate sqrt(25. 2)

    Text Solution

    |

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

    Text Solution

    |

  12. If y=x^4-10 and if x changes from 2 to 1.99, what is the approximat...

    Text Solution

    |

  13. A circular metal plate expands under heating so that its radius inc...

    Text Solution

    |

  14. Find the percentage error in calculating the volume of a cubical bo...

    Text Solution

    |

  15. The time t of a complete oscillation of a simple pendulum of length l ...

    Text Solution

    |

  16. Find the approximate change in the volume V of a cube of side x met...

    Text Solution

    |

  17. If the radius of a sphere is measured as 9 cm with an error of 0.03...

    Text Solution

    |

  18. Find the approximate value of f(3. 02) , where f(x)=3x^2+5x+3 .

    Text Solution

    |

  19. Find the approximate volume of metal in a hollow spherical shell wh...

    Text Solution

    |

  20. Use differentials to approximate sqrt(25. 2) .

    Text Solution

    |