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

The volume of a cube is increasing at the rate of 9 `"cm"^(3)//sec`. How fast is surface area increasing when the length of an edge is 10 cm ?

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

The volume of a cube is increasing at the rate of 8 cm^3/s . How fast is the surface area increasing when the length of an edge is 12 cm?

The volume of a cube is increasing at a rate of 9 (cm)^3/s . How fast is the surface area increasing when the length of an edge is 10 centimetres ?

The volume of a cube is increasing at the rate of 7 cubic metre per second. How fast is the surface area increasing when the length of an edge is 24 cm?

The volume of a cube is increasing at the rate of 9 cm^3//sec . The rate of increase of its surface area when its edge (side) is 6 cm is

An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

An edge of a variable cube is increasing at the rate of 3 cm second. How fast is the volume of the cube increasing when the edge is 10 cm long?

An edge of a variable cube is increasing at the rate of 10cm/sec. How fast the volume of the cube is increasing when the edge is 5cm long?

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. A balloon, which always remains spherical, has a variable diameter 3/2...

    Text Solution

    |

  2. A balloon, which always remains spherical on inflation, is being infla...

    Text Solution

    |

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

    Text Solution

    |

  4. The volume of a cube is increasing at the rate of 8 cm^3/s. How fast i...

    Text Solution

    |

  5. The volume of a cube is increasing at the rate of 7 cubic metre per se...

    Text Solution

    |

  6. A particle moves along the curve y=4/(3)x^(3)+5. Find the points on th...

    Text Solution

    |

  7. A particle move along the curve 6y = x^3 +2. Find the points on the cr...

    Text Solution

    |

  8. The radius of a cylinder increases at the rate of 1 cm/s and its heigh...

    Text Solution

    |

  9. The contentment obtained after eating X-units of a new dish at a trial...

    Text Solution

    |

  10. The cost function of a firm is given by: C(x) = 300x - 10x^2 +(1)/(3...

    Text Solution

    |

  11. The total cost C(x) associated with product of 'x' units of an item is...

    Text Solution

    |

  12. The total revenue in rupees received form the sale of 'x' units of a p...

    Text Solution

    |

  13. Total revenue from the sale of 'x' units of the product is given by: ...

    Text Solution

    |

  14. A man 160 cm tall, walks away from a source of light situated at the t...

    Text Solution

    |

  15. A man of height 2m walks at a uniform speed of 5km/h away from a lamp...

    Text Solution

    |

  16. The side of a square sheet is increasing at 3 cm per minute. At what r...

    Text Solution

    |

  17. The side of a square is increasing at the rate of 0.2 cm/s. Find the r...

    Text Solution

    |

  18. The length 'x' of a rectnagle is decreasing at the rate of 3cm/m and t...

    Text Solution

    |

  19. The length 'x' of rectangle is decreasing at the rate of 2 cm/min and ...

    Text Solution

    |

  20. An edge of a variable cube is increasing at the rate of 3 cm second. H...

    Text Solution

    |