Home
Class 12
MATHS
An inverted cone of filter paper, with v...

An inverted cone of filter paper, with vertical angle `30^(@)`, is filled with water which runs out at the rate of `3 cu. Ft.//min`. When the depth is 3 ft. 6 in., level of water in the cone is failling at the rate of

A

`(6)/(7 pi) ft.//min`.

B

`(7pi)/(6) ft. //min`.

C

`(36)/(49 pi) ft.//min`.

D

`(49 pi)/(36)ft. //min`.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)|19 Videos

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

Similar Questions

Explore conceptually related problems

Water is poured into an inverted cone of semi-vertical angle 30^(@) at the rate of 2 cu.ft//min .When the depth of water in the cone is 1 foot, the surface of water in the cone is rising at the rate of

Water is poured into an inverted cone of semi-vertical angle 30^(@) at the rate of 2 cu.ft//min .When the depth of water in the cone is 1 foot, the surface of water in the cone is rising at the rate of

Water is being poured into an open cylindrical can of radius 2ft. At the rate of 6 cu.ft//min . The depth of water in the can is increasing at the rate of

An inverted cone with semi vertical angle 0=tan^(-1)((1)/(2)) is being filled with water at the rate of 5cm^(3) min.Then the rate of change of height of water when height of water is 10cm is

An inverted cone has a depth of 10cm and a base of radius 5cm. Water is poured into it at the rate of 3/2 c.c.per minute.Find the rate at which the level of water in the cone is rising when the depth is 4cm.

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan ^(-1)((1)/(2)) . Water is poured into it at a constant rate of 5 cu m/min. Then, the rate (in m/min) at which the level of water is rising at the instant when the depth of water in the tank is 10 m is

A water is poured into an inverted cone whose semi-vertical angle is 45^(@) so that the level of water increases at the rate of 1 cm/sec. then the rate at which the volume of water is increasing when height of water in cone is 2 cm is

An inverted cone has a depth of 40 cm and a base of radius 5 cm. Water is poured into it at a rate of 1.5 cubic centimetres per minutes. Find the rate at which the level of water in the cone is rising when the depth is 4 cm

A cone has a depth of 15cm and a base of 6cm radius.Water is poured into it at the rate of (16)/(5)pi cc/min. Find the rate at which the level of water in the cone is rising when the depth is 4cm.

An inverted conical vessel whose height is 10 cm and the radius of whose base is 5 cm is being filled with water at the uniform rate of 1.5cm^(3)//min . Find the rate at which the level of water in the vessel is rising when the depth is 4 cm.

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
  1. An inverted cone of filter paper, with vertical angle 30^(@), is fille...

    Text Solution

    |

  2. If S=16+ 192 t-t^(3), then distance tavelled by the particle before co...

    Text Solution

    |

  3. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  4. A stone thrown vertically upwards rises S ft in t seconds where S =11...

    Text Solution

    |

  5. If displacement x at time t is x=sqrt(1+t^(2)) , then acceleration is

    Text Solution

    |

  6. If the circumference of a circle at the rate of 0.2 cm //sec, then, wh...

    Text Solution

    |

  7. A stone is dropped into a quiet pond and waves spread in the form of c...

    Text Solution

    |

  8. Perimeter of square increases at the rate of 0.4 cm// sec. When the si...

    Text Solution

    |

  9. Each side of an equilateral triangle increases at a uniform rate of 0....

    Text Solution

    |

  10. If the surface area of a cube increases at the rate of 0.6cm^(2) //sec...

    Text Solution

    |

  11. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |

  12. Water is poured into an inverted cone of semi-vertical angle 30^(@) at...

    Text Solution

    |

  13. A ladder 10 m long leans against a house. When its foot is 6 m from th...

    Text Solution

    |

  14. If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…

    Text Solution

    |

  15. If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…

    Text Solution

    |

  16. If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...

    Text Solution

    |

  17. If a wire of length l, with error delta l, is bent into an equilatera...

    Text Solution

    |

  18. if radius of a sphere is r with error delta r , and S is its surface ...

    Text Solution

    |

  19. If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…

    Text Solution

    |

  20. A point P moves along the curve y=x^(3). If its abscissa is increasing...

    Text Solution

    |