Home
Class 12
MATHS
The volume of cube is increasing at a ra...

The volume of cube is increasing at a rate of `9 cm^(3)//sec`. Find the rate of increase of its surface area when the side of the cube is 10 cm.

Text Solution

Verified by Experts

The correct Answer is:
`3.6 cm^(2)//sec`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6b|11 Videos
  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6c|19 Videos
  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|24 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

The side of a square is increasing at a rate of 4cm/sec. Find the rate of increase of its area when the side of square is 10 cm.

The side of a square is increasing at the rate of 0.5 cm/sec. Find the rate of increase of its area, when the side of square is 20 cm long.

The radius of a spherical soap bubble is increasing at the rate of 0.2 cm/sec. Find the rate of increase of its surface area, when the radius is 7 cm.

The volume of a sphere increase at the rate of 20cm^(3)//sec . Find the rate of change of its surface area when its radius is 5 cm

The area of a square is increasing the rate of 0.5" cm"^(2)//"sec" . Find the rate of increase of its perimeter when the side of square is 10 cm long.

The volume of a spherical balloon is increasing at a rate of 25 cm^(3)//sec . Find the rate of increase of its curved surface when the radius of balloon is 5 cm.

The side of a square is increasing at a rate of 3 cm/sec. Find the rate of increasing of its perimeter when the side of square is 5cm.

The side of a square is increasing at the rate of 0.1cm/sec. Find the rate of increase of its perimeter.

The radius of a spherical soap bubble is increasing at the rate of 0.2cm/sec. Find the rate of increese of its surface area,when the radius is 7cm.

The radius of a soap bubble is increasing at the rate of 0.2cm//s . Find the rate of increase of its surface area when radius = 5 cm.

NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6a
  1. Find the rate of change of area of the circle with respect to its radi...

    Text Solution

    |

  2. (i) The radius of a circle is increasing at the rate of 5 cm/sec. Fin...

    Text Solution

    |

  3. The side of a square is increasing at a rate of 3 cm/sec. Find the rat...

    Text Solution

    |

  4. The side of a square is increasing at a rate of 4cm/sec. Find the rate...

    Text Solution

    |

  5. The rate of increase of the radius of an air bubble is 0.5 cm/sec. Fin...

    Text Solution

    |

  6. A balloon which always remains spherical, is being inflated by pump...

    Text Solution

    |

  7. The volume of cube is increasing at a rate of 9 cm^(3)//sec. Find the ...

    Text Solution

    |

  8. The volume of a spherical balloon is increasing at a rate of 25 cm^(3...

    Text Solution

    |

  9. The surface of a spharical balloon is increase of its volume when its ...

    Text Solution

    |

  10. The length of a rectangle is decreasing at a rate of 3 cm/sec and brea...

    Text Solution

    |

  11. Find the point on the curve y^2dot 8xdot for which the abscissa and or...

    Text Solution

    |

  12. A particle moves along the curve 6y = x^3 + 2. Find the points on the...

    Text Solution

    |

  13. The base of a cubical tank is 25 m xx 40 m. The volume of water in the...

    Text Solution

    |

  14. The oil is leaking from a drum at a rate of 16 cm^(3)//sec. If the rad...

    Text Solution

    |

  15. The water is leaking from a conical funnel at a rate of 5cm^(3)//min. ...

    Text Solution

    |

  16. A man of height 160 cm walks at a rate of 1.1 m/sec from a lamp post w...

    Text Solution

    |

  17. The total cost C(x) in Rupees, associated with the production of x ...

    Text Solution

    |

  18. The total revenue of selling of x units of a product is represented by...

    Text Solution

    |

  19. A ladder is inclined to a wall making an angle of 30° with it. A man i...

    Text Solution

    |

  20. The one end of a 20 m long ladder is on the floor and the other end i...

    Text Solution

    |