Home
Class 12
MATHS
A container is the shape of an inverted ...

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

A

`(3)/(4pi)`

B

`(2)/(9pi)`

C

`16 pi`

D

`2 pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
  • AP EAMCET SOLVED PAPER 2018 ( 23-04-2019,SHIFT -1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|39 Videos

Similar Questions

Explore conceptually related problems

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?

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 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

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER 2017 (SOLVED)-Mathematics
  1. Delta ABC is formed by a (1,8,4), B (0, -11,4) and C(2,-3,1) . If D...

    Text Solution

    |

  2. For the function f(x) = (x-1) (x-2) difined on [0,(1)/(2)], the valu...

    Text Solution

    |

  3. A container is the shape of an inverted cone. Its height is 6m and rad...

    Text Solution

    |

  4. If the roots of the equation x^(3) - 7x^(2) + 14x - 8 = 0 are in ...

    Text Solution

    |

  5. If the mean and variance of a binomial variate X are (4)/(3),(8)/(9) ...

    Text Solution

    |

  6. If alpha is a non-real root of x^(7) = 1 then alpha (1 + alpha)(1 +...

    Text Solution

    |

  7. If cot (cos^(-1) x) = sec {tan^(-1) ((a)/(sqrt(b^(2)-a^(2))))}:bgt a,...

    Text Solution

    |

  8. In Delta ABC, L, M, N are points on BC, CA, AB respectively , dividi...

    Text Solution

    |

  9. The point to which the orgine is to be shifted to remove the first d...

    Text Solution

    |

  10. If alpha , beta, gamma are the lengths of the tangents from the ver...

    Text Solution

    |

  11. If int(0)^(10)f (x) dx = 5 "then" underset(k=1)overset(10)sumint(0)^(1...

    Text Solution

    |

  12. The angle between the tangents drawn from the point (1,2) to the ellip...

    Text Solution

    |

  13. If lx+ my = 1 is a normal to the hyperbola (x^(2))/(a^(2)) - (y^(...

    Text Solution

    |

  14. int(x^(e-1)+e^(x-1))/(x^(e)+e^(x))dx=

    Text Solution

    |

  15. If Delta =|{:(" "1,cos theta,1),(-cos theta," "1,cos theta),(-1,-costh...

    Text Solution

    |

  16. The equation of the circle whose diameter is the common chord of the...

    Text Solution

    |

  17. (x - 1)/(3x +4) lt(x - 3)/(3x-2) holds. for all x in the interval

    Text Solution

    |

  18. There are 10 intermediate stations on a railway line between two parti...

    Text Solution

    |

  19. The figure formed by the pairs of lines 6x^(2) + 13xy + 6y^(2) = 0 an...

    Text Solution

    |

  20. If the point of intersection of the tangents drawn at the points where...

    Text Solution

    |