Home
Class 12
MATHS
An inverted cone with semi vertical angl...

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

A

`1//15pi`

B

`1//10pi`

C

`2//pi`

D

`1//5pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos
  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos
  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Volume of cone with semi vertical angle tan^(-1)(1/3) is increasing at a rate of 9picm^(3)//sec when radius of cone is 1cm .The instantaneous rate of change of height at this time is : (in cm/sec)

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

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 water tank has the shape of an inverted right - circular cone with its axis vertical and vertex lower most. Its semi - vertical angle is tan^(-1)((1)/(2)) . Water is poured into it at a constant rate of 5 cubic meter per minute. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 10 m.

A conical vessel whose height is 4 metres and of base radius 2 metres is being filled with water at the rate of 0.75 cubic metres per minute.Find the rate at which the level of the water is rising when the depth of water is 1.5 metres.?

JEE MAINS PREVIOUS YEAR-JEE MAINS-Physics
  1. An inverted cone with semi vertical angle 0=tan^(-1)((1)/(2)) is being...

    Text Solution

    |

  2. The moment of inertia of a solid sphere, about an axis parallel to its...

    Text Solution

    |

  3. A load of mass M kg is suspended from a steel wire of length 2 m and r...

    Text Solution

    |

  4. In the value circuit, C=(sqrt(3))/(2)muF,R2=20omega, L=sqrt(3)/(10)H, ...

    Text Solution

    |

  5. An ideal gas is enclosed in a cylinder at pressure of 2 atm and temper...

    Text Solution

    |

  6. In the figure, given that V(BB) supply can vary from 0 to 5.0V,V(CC)=5...

    Text Solution

    |

  7. In the circuit shown, find C if the effective capacitance of the whole...

    Text Solution

    |

  8. An alpha-particle of mass m suffers 1-dimentinal eleastic collision wi...

    Text Solution

    |

  9. A 10 m long horizontal wire extends from North east ro South East. It ...

    Text Solution

    |

  10. To double the covering range of a TV transmittion tower, its height sh...

    Text Solution

    |

  11. A plano-convex lens (focal length f2, refractive indexmu(2), radius of...

    Text Solution

    |

  12. A vertical closed cylinder is separated into two parts by a frictionle...

    Text Solution

    |

  13. Two satellites, A and B, have masses m and 2m respectively. A is in a ...

    Text Solution

    |

  14. A long cylinderical vessel is half filled with a liquid. When the vess...

    Text Solution

    |

  15. A block kept on a rough inclined plane ,as shown in the figure, remain...

    Text Solution

    |

  16. In a Frank-Hertz experiment,an electron of energy 5.6eV passes through...

    Text Solution

    |

  17. A particle of mass 20 g is released with an initial velocity 5m//s alo...

    Text Solution

    |

  18. A galavanometer, whose resistance is 50 ohm has 25 divisions in it. Wh...

    Text Solution

    |

  19. A soap bubble,blown by a mechanical pump at the mouth of a tube, incre...

    Text Solution

    |

  20. In the given circuit diagram, the currents, I1=-0.3A,I4=0.8A and I5=0....

    Text Solution

    |

  21. A resonance tube is old and has jagged end. It is still used in the la...

    Text Solution

    |