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

The volume of a cube is increasing at a rate of 9 cubic centimetres per second. How fast is the surface area increasing when the length of an edge is 10 cm.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|47 Videos

Similar Questions

Explore conceptually related problems

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

The volume of a cube is increasing at the rate of 5 cm^3 /s. How fast is the surface area increasing when the length of an edge is 5sm?

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

The 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 / s. How fast is the volume of the cube increasing whẹn the edge is 10 cm long?

The radius of a balloon is increasing at the rate of 10cm/sec. At what rate is the surface area of the balloon increasing when the radius is 15 cm.

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

The radius of an air bubble is increasing at the rate of 1/2 cm / s. At what rate is the volume of the bubble increasing when the radius is 1 cm ?

A cube is expanding in sch a way that its edge is increasing at a rate of 2 inches per second . If its edge is 5 inches long then the rate of change of its volume is

A N EXCEL PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  2. The volume of a cube is increasing at a rate of 9 cubic centimetres pe...

    Text Solution

    |

  3. A stone is dropped into a quiet lake and waves move in circle at a spe...

    Text Solution

    |

  4. The length x of a rectangle is decreasing at the rate of 3 cm/minute a...

    Text Solution

    |

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

    Text Solution

    |

  6. The total revenue is Rupees received from the sale of x units of a pro...

    Text Solution

    |

  7. A man of height 2 metres walks at uniform speed of 2 km/h away from a ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. The radius of a circle is increasing uniformly at the rate of 3cm/s. F...

    Text Solution

    |

  12. The edge of a variable cube is increasing at the rate of 3 cm/s. How f...

    Text Solution

    |

  13. A stone is dropped into a quiet lake and waves move in circle at the ...

    Text Solution

    |

  14. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  15. The length of a rectangle is decreasing at the rate of 5 cm/mi and the...

    Text Solution

    |

  16. Suppose that a spherical balloon is inflated and it has volume 'v' and...

    Text Solution

    |

  17. A balloon, which always remains spherical has a variable radius. Find ...

    Text Solution

    |

  18. A ladder 5m long is leaning against a wall. The bottom of the ladder i...

    Text Solution

    |

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

    Text Solution

    |

  20. The radius of an air bubble is increasing at the rate of 1/2cm//s. A...

    Text Solution

    |