Home
Class 12
MATHS
If an error of 0.02 cm is made while mea...

If an error of 0.02 cm is made while measuring the radius 10 cm of a sphere, then the error in the volume is

A

8 `pi` cubic cm

B

80 `pi` cubic cm

C

0.06 `pi` cubic cm

D

16 `pi` cubic cm

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (TANGENT AND NORMAL)|205 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (RATE OF CHANGE)|78 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If an error of 0.02 cm is made while measuring the radius 10 cms of a sphere, then the error in the volume is

If an error of 0.02 cm is made while measuring the radius 10 cm of a circle, then the error in the area is

IF an error of 0.01 cm is made while measuring the radius 2 cm of a circle, then the relative error in the circumference is

IF an error of 0.01 cm is made while measuring the radius 5 cm of a circle, then the percentage error in the circumference is

If there is an error of 0.01 cm is made while measuring the radius 5 cm of a circle, then the percentage error in circumference is

If an error of 0.01 cm is made while measuring the radius 5 cm of a circle, then error the relative error and the percentage error in the circumference and the area of the circle.

If the radius of sphere is 3 cm. If an error of 0.03 cm is made in measuring the radius of the sphere, then the percentage error in its surface area is

The radius of a sphere is 3 cm. If an error of 0.03 cm is made in measiring the radius of the sphere, then the percentage error in surface area is

If an error of (1/10)% is made in measuring the radius of a sphere, the percentage error in volume is

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1A (APPROXIMATIONS AND ERRORS)
  1. In measuring the area of a circle in 25pi sq.cm, there is an error of ...

    Text Solution

    |

  2. In measuring the vertical angle of the sector of a circle of radius 30...

    Text Solution

    |

  3. If an error of 0.02 cm is made while measuring the radius 10 cm of a s...

    Text Solution

    |

  4. If there is a possible error of 0.02 cm in the measurement of the diam...

    Text Solution

    |

  5. There is an error of +-0.04 cm in the measurement of the diameter of ...

    Text Solution

    |

  6. If there is an error of 1/(10)% in the measurement of the radius of a ...

    Text Solution

    |

  7. If the radius of a sphere is raised from 10 cm to 10.02 cm when heated...

    Text Solution

    |

  8. The radius of a sphere is 3 cm. If an error of 0.03 cm is made in meas...

    Text Solution

    |

  9. The radius of a sphere is 3 cm. If an error of 0.03 cm is made in meas...

    Text Solution

    |

  10. If there is an error of 0.01 cm in the diameter of a sphere when its r...

    Text Solution

    |

  11. If there is a possible error of 0.01 cm in the measurement of side of ...

    Text Solution

    |

  12. If there is an error 0f 0.02 cm in the measurement of the side as 10 c...

    Text Solution

    |

  13. If there is an error of 0.05 cm is made while measuring the side 10 cm...

    Text Solution

    |

  14. If there is an error of 0.05 cm in the measurement of the side as 2 cm...

    Text Solution

    |

  15. The percentage error in measuring the side of a cube is 0.5, Then the ...

    Text Solution

    |

  16. In a cube the percentage increase in the side is 1. The percentage inc...

    Text Solution

    |

  17. The approximate percentage reduction in the volume of a cube of ice if...

    Text Solution

    |

  18. If the side if a cube is 10.01 cm, the approximate volume of the cube ...

    Text Solution

    |

  19. If there is an error 0.01 cm in the measurement of the radius 10 cm of...

    Text Solution

    |

  20. If ther is an error 0.01 cm in the measurement of the radius 10 cm of ...

    Text Solution

    |