Home
Class 12
MATHS
A cylindrical tank of radius 10 m is bei...

A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic metre per hour. Then the depth of the wheat is increasing at the rate of

A

1 m/h

B

0.1 m/h

C

0.1 m/h

D

0.5 m/h

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.5|48 Videos
  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

A water tank has the shape of an inverted right circular cone with its axis vertical and vertex lowermost. Its semi-vertical angle is tan^(-1 (0.5). Water is poured into it at a constant rate of 5 cubic metre per hour. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 4 m.

Find the time required for a cylindrical tank of radius 2.5 m and height 3 m to empty through a round hole of 2.5 cm with a velocity 2. 5sqrt(h) m/s, h being the depth of the water in the tank.

A conical water tank with vertex down of 12 meters height has a radius of 5 meters at the top. If water flows into the tank at a rate 10 cubic m/min, how fast is the depth of the water increases when the water is 8 metres deep?

A circular disc of radius 3 cm is being heated. Due to expansion, its radius increases at the rate of 0.05 cm/s. Find the rate at which its area is increasing when radius is 3.2 cm.

A water tank has the shape of an invertd circular cone with base radius 2 metres and height 4 metres. If water is being pumped into the tank at the rate of 2m^(3)//mm . Find the rate at which the water level is rising when the water is 3m deep

A spherical balloon is filled with 4500p cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of 72pi cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases 49 minutes after the leakage began is (1) 9/7 (2) 7/9 (3) 2/9 (4) 9/2

A cubical container of side 6.5 m is to be painted on the entire outer surface. Find the area to be painted and the total cost of painting it at the rate of ₹ 24 per m^(2) .

NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. Show that the normal at any point θ to the curve x = a costheta + a th...

    Text Solution

    |

  2. Find the intervals in which the function f given by f(x) = (4sin x-2...

    Text Solution

    |

  3. Find the intervals in which the function f given by f(x) =x^(3) +(1)/(...

    Text Solution

    |

  4. The area enclosed by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1...

    Text Solution

    |

  5. A tank with rectangular base and rectangular sides, open at the top is...

    Text Solution

    |

  6. The sum of the perimeter of a circle and square is k, where k is some ...

    Text Solution

    |

  7. A window is in the form of a rectangle surmounted by a semicircular op...

    Text Solution

    |

  8. A point on the hypotenuse of a triangle is at distance a and b from th...

    Text Solution

    |

  9. Find the points at which the function f given by f (x) = (x-2)^(4)(x+1...

    Text Solution

    |

  10. Find the absolute maximum and minimum values of the function f given b...

    Text Solution

    |

  11. Show that the altitude of the right circular cone of maximum volume th...

    Text Solution

    |

  12. Let f be a function defined on [a, b] such that f ′(x) gt 0, for all x...

    Text Solution

    |

  13. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  14. Show that height of the cylinder of greatest volume which can be inscr...

    Text Solution

    |

  15. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  16. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

    Text Solution

    |

  17. The line y = mx + 1 is a tangent to the curve y^(2)= 4x if the value o...

    Text Solution

    |

  18. The normal at the point (1,1) on the curve 2y + x^(2) = 3 is

    Text Solution

    |

  19. Find the equation of the normal to the curve x^(2) = 4y which passes t...

    Text Solution

    |

  20. The points on the curve 9y^(2) = x^(3) , where the normal to the curve...

    Text Solution

    |