Home
Class 12
MATHS
The approximate change in the volume of ...

The approximate change in the volume of a cube of side x metres caused by increasing the side by 3% is

A

`0.06 x^(3) m^3`

B

`0.6 x^(3) m^3`

C

`0.09 x^(3) m^3`

D

`0.9 x^(3) m^3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    OMEGA PUBLICATION|Exercise Important Questions from (Miscellaneous Exercise )|48 Videos
  • APPLICATION OF INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

Similar Questions

Explore conceptually related problems

Find the approximate change in the volume V of a cube of side x metres caused by increasing the side by 1% .

Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%

Find the approximate change in the volume V of a cube of side 'x' metres caused by increasng the side by 2%.

Find the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1% .

Fill in the blanks:- The volume of a cube side 1 cm is equal to …. m^3

OMEGA PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions (MCQs)
  1. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

    Text Solution

    |

  2. For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:

    Text Solution

    |

  3. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Find the rate of change of the area of the circle with respect to its ...

    Text Solution

    |

  7. The total revenue in Rupees received from its sale of x units of a pro...

    Text Solution

    |

  8. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

    Text Solution

    |

  9. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  10. Find the slope of the tangent to the curve y = 3x^4 - 4x at x = 4 .

    Text Solution

    |

  11. The slope of the normal to the curve y =3x^2 +2 sin x at x =0 is

    Text Solution

    |

  12. The line y = x+1, is a tangent to the curve y^2 = 4x at the point.

    Text Solution

    |

  13. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

    Text Solution

    |

  14. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

    Text Solution

    |

  15. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

    Text Solution

    |

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

    Text Solution

    |

  17. The approximate change in the volume of a cube of side x metres caused...

    Text Solution

    |

  18. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

    Text Solution

    |

  19. For all real values of x, the minimum value of (1+x+x^2) is

    Text Solution

    |

  20. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

    Text Solution

    |