Home
Class 12
MATHS
एक गुब्बारा जो सदैव गोलाकार रहता है का प...

एक गुब्बारा जो सदैव गोलाकार रहता है का परिवर्तन व्यास `3/2(2x+1)` है x के सापेक्ष आयतन के परिवर्तन की दर ज्ञात कीजिए

A

`(27pi)/(8)(2x+1)^(2)` cubic units/sec

B

`(9pi)/(8)(2x+1)^(2)` cubic units/sec

C

`(3pi)/(2)(2x+1)^(2)` cubic units/sec

D

`(9pi)/(2)(2x+1)^(2)` cubic units/sec

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

गति की दर का मापन |दिशा के साथ चाल |एकसमान तथा आसमान वेग |वेग में परिवर्तन की दर |Summary

The perimeter and length of a rectangle are in the ratio of 8:1, and the area of the rectangle is 1323 cm^2 . Find the length of the rectangle. एक आयत का परिमाप और उसकी लंबाई 8:1 के अनुपात में है। आयत का क्षेत्रफल 1323 वर्ग सेमी है। आयत की लंबाई ज्ञात कीजिए।

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. The radius of a soap bubble is increasing at the rate of 0.2 cm/sec. I...

    Text Solution

    |

  2. A spherical soap bubble is expanding so that its radius is increasing ...

    Text Solution

    |

  3. एक गुब्बारा जो सदैव गोलाकार रहता है का परिवर्तन व्यास 3/2(2x+1) है x क...

    Text Solution

    |

  4. A spherical snow ball is melting so that its volume is decreasing at t...

    Text Solution

    |

  5. The volume of spherical ball is increasing at the rate of 4pi "cc/sec"...

    Text Solution

    |

  6. If the volume of spherical ball is increasing at the rate of 4pi" cc/s...

    Text Solution

    |

  7. Gas is being pumped into a a spherical balloon at the rate of 30 ft^(3...

    Text Solution

    |

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

    Text Solution

    |

  9. A spherical iron ball 10cm in radius is coated with a layer of ice of ...

    Text Solution

    |

  10. The surface area of a spherical balloon is increasing at the rate of 2...

    Text Solution

    |

  11. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |

  12. Water is being poured at the rate of 36" m"^(3)//"sec" in a cylindrica...

    Text Solution

    |

  13. The radius of a cylinder is increasing at the rate of 3ms^(-1) and its...

    Text Solution

    |

  14. A cone has a depth of 15cm and a base of 6 cm radius. Water is poured ...

    Text Solution

    |

  15. Sand is pouring at the rate of 12 cm^(3)"/sec". The falling sand forms...

    Text Solution

    |

  16. A water is poured into an inverted cone whose semi-vertical angle is 4...

    Text Solution

    |

  17. A water is poured into an inverted cone at the rate of 270 cc/sec. The...

    Text Solution

    |

  18. A kite is flying at a height of 16 meters. A boy who is flying it, is ...

    Text Solution

    |

  19. An aeroplane at an altitude of 1 km flying horizontally at 800 km/hr p...

    Text Solution

    |

  20. Find the approximate value of (4.01)^3 .

    Text Solution

    |