Home
Class 12
MATHS
If the radius of a sphere is measured as...

If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximate error in calculating its surface area.

Text Solution

Verified by Experts

The correct Answer is:
`2.16 pi m^(3)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.5|48 Videos

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.6|24 Videos

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.3|31 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

If the radius of a sphere is measured as 9m with an error of 0.03m, then find the approximte error in calculating its surface area.

If the radius of a sphere is measured as 7m with an error of 0.02 m, then find the approximate error in calculating its volume.

The radius of a cone is twice of its height and the radius is 10 cm. If there is an error of 0.01 cm in measure of radius, then find the approximate error in calculating its volume.

The radius of a sphere is 7 cm. Find its surface area.

Find the radius of a sphere whose surface area is 154 cm^(2) .

The radius of a sphere is measured to be (2.1+-0.5) cm. Calculate its surface area with error limits .

If the error committed in measuring the radius of a circle is 0.01% , find the corresponding error in calculating the area.

Find the volume of a sphere of radius 11.2 cm.

The radius of sphere is 3.5 cm Find its surface area and volume .

A cylinder is heated in such a way that its radius always remains twice of its height when the radius is 3 cm, find the rate of increase of its volume. The radius is increased at the rate of 2 cm/s. Also find the rate of increase of its total surface area.

NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.4
  1. Using differentials, find the approximate value of each of the up to 3...

    Text Solution

    |

  2. Using differentials, find the approximate value of each of the up to 3...

    Text Solution

    |

  3. Using differentials, find the approximate value of each of the up to 3...

    Text Solution

    |

  4. Using differentials, find the approximate value of each of the up to 3...

    Text Solution

    |

  5. Find approminate value of (255)^((1)/(4)).

    Text Solution

    |

  6. Using differentials, find the approximate value of (82)^(1/4) upto ...

    Text Solution

    |

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

    Text Solution

    |

  8. Using differentials, find the approximate value of each of the up to 3...

    Text Solution

    |

  9. Using differentials, find the approximate value of each of the up to 3...

    Text Solution

    |

  10. Using differentials, find the approximate value of each of the up to 3...

    Text Solution

    |

  11. Using differentials, find the approximate value of each of the up to 3...

    Text Solution

    |

  12. Using differentials, find the approximate value of each of the up to 3...

    Text Solution

    |

  13. Find the approximate value of f(2. 01), where f(x)=4x^2+5x+2.

    Text Solution

    |

  14. Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

    Text Solution

    |

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

    Text Solution

    |

  16. Find the approximate change in the surface area of a cube of side x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. If f(x) = 3x^(2) + 15x+5, then the approximate value of f(3.02) is :

    Text Solution

    |

  20. The approximate change in the volume of a cube of side x metres cause...

    Text Solution

    |