Home
Class 12
MATHS
Show that the relative error in compu...

Show that the relative error in computing the volume of a sphere, due to an error in measuring the radius, is approximately equal to three times the relative error in the radius.

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

If f=x^(2) then what is the relative error in f?

If the relative error in measuring the radius of a circular plane is alpha , find the relative error in measuring its area.

The error in the measument of radius of a sphere is 0.4% . The relative error in its volume is

The percentage error in the calculation of the volume of a sphere is 4.8%. What is the percentage error in the measurement of radius of the sphere.

If there is an error of 0.01 cm in the diameter of a sphere, then percentage error in surface area when the radius =5 cm, is

find the percentage error in calculating the volume of the cubical box if an error of 1% is made in measuring the length of the edges of the cube.

Define the term relative error . How is this calculate ?

Find the percentage error in calculating the volume of a cubical box if an error if 1% is made in measuring the length of edges of the cube.

Find the percentage error in calculating the volume of a cubical box if an error of 1% is made in measuring the length of edges of the cube.

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

RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. The pressure p and the volume v of a gas are connected by the relat...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Approximate (80)^(1//4) using differentials

    Text Solution

    |

  19. Use differentials and find approximate value of (29)^(1//3)

    Text Solution

    |

  20. Using differentials, find the approximate value of (66)^(1//3)

    Text Solution

    |