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

Find the approximate change in volume of a cube of side x meters caused by an increase in the side by 3%.

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 INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

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 meters caused by increasing the side by 1%.

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

What is the volume of a cube of side 1 metre?

Find the approximate value of f(3.02) where f(x)=3x^2+5x+3 .

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

Find the approximate value of f(5.001) where f(x)=x^3-7x^2+15 .

A point charge Q is place at the center of a cube of side, l lthe electric flux emerging the cube is

The inner sides of a cubical box are of length 4 centimetres. What is its capacity? How many cubes of side 2 centimetres can be stacked inside it?

V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. If the radius of a sphere is measured as 9 m with an error of 0.03 m, ...

    Text Solution

    |

  2. Find the approximate value of f(3.02) where f(x)=3x^2+5x+3.

    Text Solution

    |

  3. Find the approximate change in volume of a cube of side x meters cause...

    Text Solution

    |

  4. Find all points of local maxima and local minima of the function f giv...

    Text Solution

    |

  5. Find all the point of local maxima and local minima of the function f ...

    Text Solution

    |

  6. Find local minimum value of the function f given by f(x)=3+|x|, x in R

    Text Solution

    |

  7. Find local maximum and local minimum value of the function f given, by...

    Text Solution

    |

  8. Find all the point of local maxima and local minima of the function f ...

    Text Solution

    |

  9. Find two positive numbers whose sum is 15 and the sum of whose squares...

    Text Solution

    |

  10. If length of three sides of a trapezium other than base are equal to 1...

    Text Solution

    |

  11. Prove that the radius of the right circular cylinder of greatest curve...

    Text Solution

    |

  12. Find the absolute maximum value and minimum value of the function. f...

    Text Solution

    |

  13. Find the absolute maximum value and minimum value of the function. f...

    Text Solution

    |

  14. Find the maximum profit that a company can make, if the profit functio...

    Text Solution

    |

  15. Find both the maximum value and the minimum value of 3 x^4-8 x^3+12 x^...

    Text Solution

    |

  16. At what points in the interval [0,2 pi], does the function sin 2 x att...

    Text Solution

    |

  17. What is the maximum value of the function sin x+cos x ?

    Text Solution

    |

  18. Find the maximum value of 2 x^3-24 x+107 in the interval [1,3]. Find t...

    Text Solution

    |

  19. It is given that at x = 1, the function x^4-62x^2+ax+9 attains its max...

    Text Solution

    |

  20. Find the maximum and minimum values of x+sin2 x on [0,2 pi]

    Text Solution

    |