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^3m^3` (B) 0.6 `x^3m^3` (C) 0.09 `x^3m^3` (D) 0.9 `x^3m^3`

A

`0.06x^(3)m^(3)`

B

`0.6x^(3)m^(3)`

C

`0.09x^(3)m^(3)`

D

`0.9x^(3)m^(3).`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (B. Fill in the Blanks)|10 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (C. True/False Questions)|5 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (f) (Long Answer Type Questions (II))|33 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 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 5% .

Find the approximate change in the volume 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 metres caused by increasing the side by 1%.

Find the side of a cube of volume 1 m^(3) .

Find the value of x 0.9 : 0.6 :: x : 3

A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic metre per hour. Then the depth of the wheat is increasing at the rate of (A) 1 m^3//h (B) 0.1 m^3//h (C) 1.1 m^3//h (D) 0.5 m^3//h

(b) 0.6-1.2x+3=-3

The base of a pyramid is an equilateral triangle of side 1m. If the height of the pyramid is 4 metres,then the volume is (a) 0.550m3 (b) 0.577m3 (c) 0.678m3 (d) 0.750m3

How many cubes each of side 0.5 m are required to build a cube of volume 8 m^3 ?

The volume of a cube is 9261000 m^(2) If the volume of the cube is increased by 1387000 m^(3) then the new side of the cube is

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Objective Type Questions (A. Multiple Choice Questions)
  1. The line y=x+1 is a tangent to the curve y^(2)=4x at the point:

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The point on the curve x^2=2ywhich is nearest to the point (0, 5) is(A...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. A cylindrical tank of radius 10 m is being filled with wheat at the r...

    Text Solution

    |

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

    Text Solution

    |

  9. The line y = m x + 1is a tangent to the curve y^2=4xif the value of m...

    Text Solution

    |

  10. The normal at the point (1,1) on the curve 2y+x^2=3is(A) x + y = 0 (B)...

    Text Solution

    |

  11. Find the equation of the normal to curve x^2=4ywhich passes through t...

    Text Solution

    |

  12. The points on the curve 9y^2=x^3, where the normal to the curve makes ...

    Text Solution

    |

  13. The point on the curve 3y = 6x-5x^3 the normal at Which passes throug...

    Text Solution

    |

  14. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0

    Text Solution

    |

  15. If the parametric of a curve given by x=e^(t)cos t, y=et sin t, then t...

    Text Solution

    |

  16. The equation to the normal to the curve y=sinx at (0,\ 0) is x=0 (b...

    Text Solution

    |

  17. Write the coordinates of the point on the curve y^2=x where the tan...

    Text Solution

    |

  18. The slope of the normal to the curve y=2x^2+3sin x at x = 0is(A) 3 (B...

    Text Solution

    |

  19. The line y=x+1 is a tangent to the curve y^(2)=4x at the point :

    Text Solution

    |

  20. The rate of change of the area of a circle with respect to its radius ...

    Text Solution

    |