Home
Class 11
MATHS
A container is in the shape of an invert...

A container is in the shape of an inverted cone has height 8m and radius 6m at the top. If it is filled with water at the rate of `2m^(3)`/minute, how fast is the height of water changing when the level is 4m?

Text Solution

Verified by Experts

The correct Answer is:
`(2)/(9pi)=(dh)/(dt)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(f)|12 Videos
  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(g)|16 Videos
  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(d)|8 Videos
  • ADDITION OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise - 4 (b) |11 Videos
  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(d)|15 Videos

Similar Questions

Explore conceptually related problems

A container in the shape of an inverted cone has height 12 cm and radius 6cm at the top. If it is filled with water at the rate of 12cm^(3)//sec , what is the rate of change in the rate of change in the height of water level when the tank is filled 8 cm?

A container is the shape of an inverted cone. Its height is 6m and radius is 4 m at the top. If it is filled with water at the rate 3m^(3)//min then the rate of change of height of water (in mt//min) when the water level is 3 m is

Suppose we have a rectangular aquarium with dimensions of length 8m, width 4m and height 3m. Suppose we are filling the tank with water at the rate of 0.4m^3"/sec." How fast is the height of water changing when the water level is 2.5m?

A vessel is in the form of an inverted cone. Its height is 8 cm. and the radius of its top is 5 cm.It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, 1/4 of the water flows out. Find the number of lead shots dropped into the vessel.

A conical vesel of height 10 mts and radius 5 units.is being filled water at uniform rate of 3/2 cu.mts/min. The rate at which the level of water rises when the depth of water in the vessle is 4mts is

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-APPLICATION OF DERIVATIVES-Exercise-10(e)
  1. At time t, the distance s of a particle moving in a straight line is g...

    Text Solution

    |

  2. If y=x^4 then find the average rate of change of y between x= 2 and x=...

    Text Solution

    |

  3. A particle moving along a straight line has the relation s=t^(3)+2t+3,...

    Text Solution

    |

  4. The distance-time formula for the motion of a particle along a straigh...

    Text Solution

    |

  5. The displacement s of a particle travelling in a straight line in t se...

    Text Solution

    |

  6. The volume of a cube is increasing at the rate of 8cm^3//sec. How fast...

    Text Solution

    |

  7. A stone is dropped into a quiet lake and ripples move in circles at th...

    Text Solution

    |

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

    Text Solution

    |

  9. A balloon which always remains spherical on inflation is being inflate...

    Text Solution

    |

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

    Text Solution

    |

  11. Assume that an object is launched upward at 980m/seclis position would...

    Text Solution

    |

  12. Let a kind of bacteria grow by t^(3) (t in sec). At what time the rate...

    Text Solution

    |

  13. Suppose we have a rectangular aquarium with dimensions of length 8m, w...

    Text Solution

    |

  14. A container is in the shape of an inverted cone has height 8m and radi...

    Text Solution

    |

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

    Text Solution

    |

  16. The total revenue in rupees received from the sale os x units of a pro...

    Text Solution

    |

  17. A point P is moving on the curve y = 2 x^(2) . The x coordinate of P ...

    Text Solution

    |