Home
Class 12
MATHS
A rectangular vessel is of 2 mt long, 0....

A rectangular vessel is of 2 mt long, 0.5 mt breadth and 1 mt deep. If water flows in at the rate of 900 cubic cm per sec, then the rate of increase of water level when 25 cm deep is

A

0.09 cm/sec

B

0.1 cm/sec

C

0.01 cm/sec

D

0/5 c/sec

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1E (MAXIMA AND MINIMA)|221 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (TANGENT AND NORMAL)|205 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

A rectangular vessel is of 2 mt long. 0.5 mt breadth and I mt deep. If water flows in at rate of 900 cubic cm per sec, then the rate of increase of water level when 25 cm deep is

The radius of a sphere increases at the rate of 0.03 cm/sec. Find the rate of increase in the volume of the sphere when the radius is 5 cm.

If the rate of change in the radius of a circle is 0.02 cm/sec, then the rate of change in the area of the circle when the radius is 5 cm is

Sand is being poured on the ground from the orifice of an elevated pipe and from a pile which has always the shape of a right circular cone whose height is equal to the radius of the base. If the sand if falling at the rate of 1000 cubic cm per, sec, the rate at which the height of the pile is rising when the height is 40 cm is

The pressure p and the volume of a gas are connected by the relalson pv=300. If the volume is increasing at the rate of 0.6 cubic cm per minute then find the rate of change in pressure of the gas when the volume is 30 cubic cm.

The pressure p and the voluem v of a gas are connected by the relation pv = 300. If the volume is increasing at the rate of 0.6 cubic cm minute then the rate of change in pressure of the gas when the volume is 30 cubic cm is

The slant height of a cone is fixed as 7 cm. If the rate of increase in tis height os 0.3 cm/sec, then the rate of increase of volume when height 4 cm is

Water flows into a conical vessel at the rate of 5 cubic cm per second. If the semivertical angle of the vessel is 30^@ , then the rate of increase of water level when the water level in the vessel is 6 cm is

An inverted cone has a depth of 10 cm and a base of radius 5 cm. Wateer is poured in to it at the rate of 1.5 cubic cm per second. The rate at which water is rising when the depth is 4 cm is

Each side of an equilateral triangle expands at the rate of 2 cm/sec. The rate of increase of its area when each side is 10 cm is (in cm^2 /sec)

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
  1. the side of a square is equal to the diameter of a circle. Ifthe side ...

    Text Solution

    |

  2. Two parallel sides of a rectangle are being lengthened at the rate of ...

    Text Solution

    |

  3. A rectangular vessel is of 2 mt long, 0.5 mt breadth and 1 mt deep. If...

    Text Solution

    |

  4. Each side of an equilateral triangle expands at the rate of 2 cm/sec. ...

    Text Solution

    |

  5. The side of an equilateral triangle increases at the uniform rate of 0...

    Text Solution

    |

  6. At a given instant the legs of a right angled triangle are 8 inch and ...

    Text Solution

    |

  7. A variable triangle ABC is inscribed in a circle of diameter x units. ...

    Text Solution

    |

  8. A spherical balloon is filled with 4500pi cubic meters of helium gas. ...

    Text Solution

    |

  9. Gas is leaking out of a spherical balloon at the rate of 1800 cubic cm...

    Text Solution

    |

  10. The volume of a metal hollow sphere is constant. If the outer radius i...

    Text Solution

    |

  11. The side of a cube is equal to the diameter of a sphere. If the side a...

    Text Solution

    |

  12. The side of a cube is equal to the radius of a shpere. If the side and...

    Text Solution

    |

  13. If the rates of increase of side of a cube and radius of a sphere are ...

    Text Solution

    |

  14. The bas radius of a cylindrical vessel full of oil is 30 cm. Oil is dr...

    Text Solution

    |

  15. Oil is being filled in a cylindrical tank of diameter 12 mt. The rate ...

    Text Solution

    |

  16. Water is flowing into cylindrical tank of radius 7 ft in the rate of 2...

    Text Solution

    |

  17. The diameter and altitude of a right circular cylinder are found at a ...

    Text Solution

    |

  18. The diameter and altitude of a right circular cylinder are found at a ...

    Text Solution

    |

  19. An inverted cone has a depth of 10 cm and a base of radius 5 cm. Watee...

    Text Solution

    |

  20. The radius of the base and depth of a conical funnel are 20 cm and 40 ...

    Text Solution

    |