Home
Class 12
MATHS
The base of a cubical tank is 25 m xx 40...

The base of a cubical tank is `25 m xx 40 m`. The volume of water in the tank is increasing at the rate of `500 m^(3)//min`. Find the rate at which the height of water is increasing.

Text Solution

Verified by Experts

The correct Answer is:
`0.5 m//min`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6b|11 Videos
  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6c|19 Videos
  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|24 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

The bottom of a rectangular swimming tank is 25 m by 40m. Water is pumped into the tank at the rate of 500 cubic metres per minute. Find the rate at which the level of water in the tank is rising.

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

The bottom of a rectangular swimming tank is 50cm xx20cm. Water is pumped into the tank at the rate of 500cc/mm .Find the rate at which at level of water in the tank is rising

Height of a tank in the form of an inverted cone is 10 m and radius of its circular base is 2 m. The tank contains water and it is leaking through a hole at its vertex at the rate of 0.02m^(3)//s. Find the rate at which the water level changes and the rate at which the radius of water surface changes when height of water level is 5 m.

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

Sand is falling onto the ground at the rate of 18 cubic m/sec. And is forming a heap in the shape of a cone . If its height is twice the base-radius, then the rate at which the height is increasing when the height of the cone is 6 m is

In a cylindrical tank, rice is increasing at a rate of 314 m^(3)//hr . Find the rate of increase of the height of the rice in cylindrical tank when the radius of the base of tank is 5 m.

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

NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6a
  1. Find the rate of change of area of the circle with respect to its radi...

    Text Solution

    |

  2. (i) The radius of a circle is increasing at the rate of 5 cm/sec. Fin...

    Text Solution

    |

  3. The side of a square is increasing at a rate of 3 cm/sec. Find the rat...

    Text Solution

    |

  4. The side of a square is increasing at a rate of 4cm/sec. Find the rate...

    Text Solution

    |

  5. The rate of increase of the radius of an air bubble is 0.5 cm/sec. Fin...

    Text Solution

    |

  6. A balloon which always remains spherical, is being inflated by pump...

    Text Solution

    |

  7. The volume of cube is increasing at a rate of 9 cm^(3)//sec. Find the ...

    Text Solution

    |

  8. The volume of a spherical balloon is increasing at a rate of 25 cm^(3...

    Text Solution

    |

  9. The surface of a spharical balloon is increase of its volume when its ...

    Text Solution

    |

  10. The length of a rectangle is decreasing at a rate of 3 cm/sec and brea...

    Text Solution

    |

  11. Find the point on the curve y^2dot 8xdot for which the abscissa and or...

    Text Solution

    |

  12. A particle moves along the curve 6y = x^3 + 2. Find the points on the...

    Text Solution

    |

  13. The base of a cubical tank is 25 m xx 40 m. The volume of water in the...

    Text Solution

    |

  14. The oil is leaking from a drum at a rate of 16 cm^(3)//sec. If the rad...

    Text Solution

    |

  15. The water is leaking from a conical funnel at a rate of 5cm^(3)//min. ...

    Text Solution

    |

  16. A man of height 160 cm walks at a rate of 1.1 m/sec from a lamp post w...

    Text Solution

    |

  17. The total cost C(x) in Rupees, associated with the production of x ...

    Text Solution

    |

  18. The total revenue of selling of x units of a product is represented by...

    Text Solution

    |

  19. A ladder is inclined to a wall making an angle of 30° with it. A man i...

    Text Solution

    |

  20. The one end of a 20 m long ladder is on the floor and the other end i...

    Text Solution

    |