Home
Class 12
MATHS
The length of a side of a cube is 10 cm ...

The length of a side of a cube is 10 cm , if an error of 0.05 cm is made in measuring the side find the differential of volume (dv) and the approximate error.

Promotional Banner

Topper's Solved these Questions

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|23 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

Similar Questions

Explore conceptually related problems

The radius of a balloon is 7 cm. If an error of 0.01 cm is made n measuring the radius, find the error in measuring the volume of the balloon.

The approximate error in measuring the area of a square of side 10 cm due to error of 0.05 cm in measuring its side is-

The approximate error in measuring the area of a square of side 10 cm due to error of 0.05 cm in measuring its side is

If the radius of a sphere is measured as 14 cm with an error of 0.03 cm , then approximate error in the calculation of its volume is-

The radius of sphere is found to be 20 cm with a possible error of 0.05 cm. Error made in computing the volume-

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1% , the maximum error in determining the denstiy is

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

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.

CHHAYA PUBLICATION-SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE-SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION
  1. Find the points on the curve y = x^(2) + (1)/(x^(2)) at which (dy)/(dx...

    Text Solution

    |

  2. Find the points on the curve y = 2x^(3) - 15x^(2) + 24x - 10 at which...

    Text Solution

    |

  3. Find the increment and differential of the function, f(x) = 2x^(2) - 3...

    Text Solution

    |

  4. The length of a side of a cube is 10 cm , if an error of 0.05 cm is ma...

    Text Solution

    |

  5. Find the increment Deltay of y corresponding to the increment Deltax o...

    Text Solution

    |

  6. The slope of the tangent to the curve represented by x = t^(2) + 3t - ...

    Text Solution

    |

  7. A spherical balloon is expanding. If the redius is increasing at the ...

    Text Solution

    |

  8. A 5(1)/(2)ft long man walks away from the foot of a 12(1)/(2)ft high l...

    Text Solution

    |

  9. The average rate of change of the function y = 16 - x^(2) between x = ...

    Text Solution

    |

  10. The distance x of a particle from a fixed point at time t is given by,...

    Text Solution

    |

  11. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  12. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  13. ABC is a trangle whose sides are a units, b units and c units respecti...

    Text Solution

    |

  14. ABC is a trangle whose sides are a units, b units and c units respecti...

    Text Solution

    |

  15. In triangle ABC, a,b remain constant but the base angles A and B very,...

    Text Solution

    |

  16. The radius of sphere is found to be 20 cm with a possible error of 0.0...

    Text Solution

    |

  17. The radius of shpere is found to be 20 cm with a possible error of 0.0...

    Text Solution

    |

  18. The radius of shpere is found to be 20 cm with a possible error of 0.0...

    Text Solution

    |

  19. Each question in this section has four choices A,B,C,and D out of whi...

    Text Solution

    |

  20. Each question in this section has four choices A,B,C,and D out of whi...

    Text Solution

    |