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 volume.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

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

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

The radius of a spherical diamond is measured as 6 cm with an error of 0.04 cm. Obtain the approximate error in calculating its volume. If the cost of 1cm^(3) diamond is Rs 1600, what is the loss to the buyer of the diamond?

The radius of a sphere is measured to be (5.3+-0.1) cm . Calculate the percentage error in measurement of its volume.

The radius of a spherical soap bubble is increasing at the rate of 0.5 cm per second. Find the rate of change of its volume, when the radius is 10 cm.

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the approximate change in the volume V of a cube of side 'x' metr...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Use differentials to find cos61^@, it being given that sin60^@ = 0.866...

    Text Solution

    |

  5. If y = x^4-10 and if x changes form 2 to 1.99, what is approximate cha...

    Text Solution

    |

  6. Find the approximate value of f(2.01) where f(x) = 4x^2+ 5x +2.

    Text Solution

    |

  7. Use differenttials, find the approximate value of the following: sin(2...

    Text Solution

    |

  8. Use differenttials, find the approximate value of the following: cos(1...

    Text Solution

    |

  9. If y = sin x and x change form pi/2 to 22/14, what is the approximate ...

    Text Solution

    |

  10. A circular metal plate expands under heating so that its radius increa...

    Text Solution

    |

  11. Find the percentage error in calculating the surface area of a cubical...

    Text Solution

    |

  12. The radius of a spherical diamond is measured as 6 cm with an error of...

    Text Solution

    |

  13. Find the maximum or minimum values, if any, of the following functions...

    Text Solution

    |

  14. Find the maximum and minimum values, if any, of the following function...

    Text Solution

    |

  15. Find the maximum and minimum values, if any, of the following function...

    Text Solution

    |

  16. Find the maximum or minimum values, if any, of the following functions...

    Text Solution

    |

  17. Find the maximum or minimum values, if any, of the following functions...

    Text Solution

    |

  18. Find the maximum or minimum values, if any, of the following functions...

    Text Solution

    |

  19. Find the maximum or minimum values, if any, of the following functions...

    Text Solution

    |

  20. Find the maximum or minimum values, if any, of the following functions...

    Text Solution

    |