Home
Class 12
MATHS
Base radius of a cylindrical vessel , fu...

Base radius of a cylindrical vessel , full of oil is 30 meters. Oil is drawn from it at the rate of `27000 m^(3)//min`. Rate at which level of oil in the vessel is falling is

A

`(30)/(pi) m//min`.

B

`(pi)/(30) m//min`.

C

`30 pi m//min`.

D

`(27)/(pi) m//min`.

Text Solution

Verified by Experts

The correct Answer is:
A
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

A cylindrical vessel of radius 3.5 m is full of water. If 15400 litres of water is taken out from it, then the drop in the water level in the vessel will be:

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.

A cylindrical vessel of radius 0.5 m is filled with oil at the rate of 0.25 m3/minute. The rate at which the surface of the oil is rising, is (a) 1 m/min. (b) 2 m/min. (c) 5 m/min. (d) 1.25 m/min.

Water is poured into an inverted conical vessel of which the radius of the base is 2m and height 4m, at the rate of 77 lit/min.The rate at which the water level is rising at the instant when the depth is 70cm is

Find the capacity of a cylindrical vessel, whose radius is 3m. and height 7m.

It costs Rs.2200 to paint the inner curved surface of a cylindrical vessel 10m deep.If the cost of painting is at the rate of Rs.20per m^(2), find: radius of the base inner curved surface area of the vessel capacity of the vessel

It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of R s" "20" "p e r" "m^2 , find (i) inner curved surface area of the vessel, (ii) radius of the base, (iii) capacity of

Water is being poured on to a cylindrical vessel at the rate of 1(m^(3))/(min) .If the vessel has a circular base of radius 3m ,find the rate at which the level of water is rising in the vessel.

Oil is being filled in a cylindrical tank of diamater 18cm. If the amount of oil in the tank is increasing at the rate of 324picc//min , then the height of oil is increasing at the rate of

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
  1. Base radius of a cylindrical vessel , full of oil is 30 meters. Oil is...

    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

    |