Home
Class 12
MATHS
If there is an error of 0.1% in the m...

If there is an error of 0.1% in the measurement of the radius of a sphere, find approximately the percentage error in the calculation of the volume of the sphere.

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

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.

The error in the measurement of the radius of a sphere is 2%. What will be the error in the calculation of its surface area?

The percentage error in the measurement of the radius of a sphere is 1.5%. What would be the percentage error in the volume of the sphere ?

The percentage error in the measurement of the radius of a sphere is 1.5%. What would be the percentage error in the volume of the sphere ?

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

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

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

If the error in the measurement of radius of a sphere in 5% then the error in the determination of volume of the spahere will be

If the error in the measurement of radius of a sphere in 2% then the error in the determination of volume of the spahere will be

If the error in the measurement of radius of a sphere in 2% then the error in the determination of volume of the spahere will be

RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. A circular metal plate expands under heating so that its radius inc...

    Text Solution

    |

  2. Find the percentage error in calculating the surface area of a cubi...

    Text Solution

    |

  3. If there is an error of 0.1% in the measurement of the radius of a ...

    Text Solution

    |

  4. The pressure p and the volume v of a gas are connected by the relat...

    Text Solution

    |

  5. The height of a cone increases by k % its semi-vertical angle remainin...

    Text Solution

    |

  6. Show that the relative error in computing the volume of a sphere, d...

    Text Solution

    |

  7. Using differentials, find the approximate value of sqrt(25. 02)

    Text Solution

    |

  8. Using differentials, find the approximate value of (0. 009)^(1//3)

    Text Solution

    |

  9. Using differentials, find the approximate value of (0. 007)^(1//3)

    Text Solution

    |

  10. Using differentials, find the approximate value of sqrt(401)

    Text Solution

    |

  11. Using differentials, find the approximate value of (15)^(1//4)

    Text Solution

    |

  12. Using differentials, find the approximate value of (255)^(1//4)

    Text Solution

    |

  13. Using differentials, find the approximate value of 1/((2. 002)^2)

    Text Solution

    |

  14. Using differentials, find the approximate value of (log)e 4.04 , it...

    Text Solution

    |

  15. Using differentials, find the approximate value of (log)e 10.02 , i...

    Text Solution

    |

  16. Using differentials, find the approximate value of (log)(10)10. 1 ,...

    Text Solution

    |

  17. Find the approximate value of cos61o using differentials, it bei...

    Text Solution

    |

  18. Find approximate value of 1/(sqrt(25. 1)) using differentials.

    Text Solution

    |

  19. Using differentials, find approximate value of sin((22)/(14))

    Text Solution

    |

  20. Approximate cos((11pi)/(36)) using differentials.

    Text Solution

    |