Home
Class 12
MATHS
A spherical balloon is filled with 4500p...

A spherical balloon is filled with `4500pi` cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the ratio 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

A

`2//9`

B

`9//2`

C

`9//7`

D

`7//9`

Text Solution

Verified by Experts

The correct Answer is:
B
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 spherical ballon is filled with 4500pi cubic meters of helium gas. If a leak in the ballon cause the gas to escape at the ratio of 72pi cubic meters per meters, then the rate (in meters per minute) at which the radius of the ballon decreases 49 minutes after the leakage bagan is

Air is discharging from a large spherical balloon at the rate of 4 cubic meters per minute. Then, the rate at which the surface area is shrinking when the radius of the balloon is 8 m, is

Gas is leaking out of a spherical balloon at the rate of 1800 cubic cm per sec. When the radius of the balloon is 720 cm, the rate at which the surface area is shrinking is

The spherical ballon is being inflated so that its volume increases uniformly at the rate of 40 cubic cm per minute. The rate of increase in the surface as when the radius is 8 cm is

A balloon which always remains spherical on inflation is being inflated by pumping in 900 cubic centimeters of gas per second. Find the rate at which the radius of balloon increases when the radius in 15 cm.

A frog is slipping into a well from upper surface at rate of 3 meters per minute, after 5 minutes what is the position of the frog in the well? (Con)

Gas is leaking out of a spherical ballon at the rate of 1800 cubic cm per sec. When the radius of the ballon is 720 cm, the rate at which the surface area is shrinking is

The base radius of a cylindrical vessel full of oil is 30 cm. Oil is drawn at the rate of 27000 cubic cm per minute. Find the rate at which the level of the oil is falling in the vessel.

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
  1. At a given instant the legs of a right angled triangle are 8 inch and ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Water is being poured in to the inverted conical vessel at the rate of...

    Text Solution

    |

  17. Sand is being poured on the ground from the orifice of an elevated pip...

    Text Solution

    |

  18. Sand is being poured on the ground from the orifice of an elevated pip...

    Text Solution

    |

  19. Water flows into a conical vessel at the rate of 5 cubic cm per second...

    Text Solution

    |

  20. A conical vessel of height 10 ft and semivertical angle 30^@ is full o...

    Text Solution

    |