Home
Class 12
MATHS
Sand is pouring from a pipe at the rate ...

Sand is pouring from a pipe at the rate of 12 cubic cm./sec. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. At which rate is the height of the sand-cone increasing when the height is 4 cm. ?

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PSEB|Exercise Exercise|189 Videos
  • APPLICATION OF INTEGRALS

    PSEB|Exercise Exercise|38 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    PSEB|Exercise Exercise|151 Videos

Similar Questions

Explore conceptually related problems

Sand is pouring from a pipe at the rate of 12 cubic cm./sec. The falling sand forming a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. At which rate is the height of the sand-cone increasing when the height is 4.5 cm. ?

Sand is pouring from a pipe at the rate of 1 2 cubic cm./sec. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. At what rate is the height of the sand-cone increasing when the height is 3.5 cm. ?

The volume of a cone is 18480cm^3 . If the height of the cone is 40 cm, find its radius of the base.

The height of a cone is 16 m and the radius of its base is 12 m. What is the area of its curved surface ?

The height of a cone is 21 cm. find the area of the base if the slant height is 28 cm.

PSEB-APPLICATION OF DERIVATIVES-Exercise
  1. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

    Text Solution

    |

  2. A balloon, which always remains spherical, has a variable diameter 3/2...

    Text Solution

    |

  3. Sand is pouring from a pipe at the rate of 12 cubic cm./sec. The falli...

    Text Solution

    |

  4. The total cost C(x) in Rupees associated with the production of x unit...

    Text Solution

    |

  5. The total revenue in Rupees received from the sale of x units of a pro...

    Text Solution

    |

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

    Text Solution

    |

  7. The total revenue in Rupees received from its sale of x units of a pro...

    Text Solution

    |

  8. Show that the function given by f(x) = 3x + 17 is increasing on R.

    Text Solution

    |

  9. Show that the function given by f(x) = e^2x is increasing on R.

    Text Solution

    |

  10. Show that the function given by f(x) = sinx is increasing in (0,pi/2...

    Text Solution

    |

  11. f(x) = sin x is a strictly decreasing in (pi/2,pi)

    Text Solution

    |

  12. Show that the function given by f(x) = sinx is neither increasing no...

    Text Solution

    |

  13. Find the intervals in which the function f given by f(x) = 2x^2 - 3x i...

    Text Solution

    |

  14. Find the intervals in which the function f given by f(x) = 2x^2 - 3x ...

    Text Solution

    |

  15. Find the intervals in which the function : f(x) = 2 x^3 - 3 x^2 - 36x ...

    Text Solution

    |

  16. Find the intervals in which the function : f(x) = 2 x^3 - 3 x^2 - 36x ...

    Text Solution

    |

  17. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  18. Find the intervals in which the following functions are strictly decre...

    Text Solution

    |

  19. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  20. Find the intervals in which the following functions are strictly decre...

    Text Solution

    |