Home
Class 12
MATHS
Gas is being pumped into a a spherical b...

Gas is being pumped into a a spherical balloon at the rate of `30 ft^(3)//min`. Then the rate at which the radius increases when it reaches the value 15 ft, is

A

`1/(30pi)ft//min`

B

`1/(15pi)ft//min`

C

`1/(20)ft//min`

D

`1/(25)ft//min`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

Gas is being pumped into a spherical balloon at the rate of 30 ft^(3) min^(-1) . Then the rate at which the radius increases when it reaches the value 15 ft, is

Water is being poured into an open cylindrical can of radius 2ft. At the rate of 6 cu.ft//min . The depth of water in the can is increasing at the rate of

A spherical balloon is punped at the rate of 10 "inch"^(3) min^(-1) , the rate of increase of its radius if its radius is 15 inch is

The radius of a sphere is increasing at the rate of 0.2 cm/sec. The rate at which the volume of the sphere increases when radius is 15 cm, is

If air is leaking from a spherical balloon at the rate of 2 cc//sec, then, when the radius is 10 cm, its surface area is decreasing at the rate of

A balloon is pumped at the rate of a cm^3 /minute. The rate of increase of its surface area when the radius is b cm , is

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING
  1. If a spherical balloon has a variable diameter (3x+9//2)., then the ra...

    Text Solution

    |

  2. If the radius of a circle be increasing at a uniform rate of 2cms^(-1)...

    Text Solution

    |

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

    Text Solution

    |

  4. The edge of a cube is increasing at the rate of 5cm//sec. How fast is ...

    Text Solution

    |

  5. If the edge of a cube increases at the rate of 60cm per second, at wha...

    Text Solution

    |

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

    Text Solution

    |

  7. The diagonal of square is changing at the rate of 0.5 cms^(-1). Then t...

    Text Solution

    |

  8. 2 m ऊंचाई का आदमी 6 m ऊंचे बिजली के खंभे से दूर 5 km/h की समान चाल स...

    Text Solution

    |

  9. A ladder of length 17m rests with one end agains a vertical wall and t...

    Text Solution

    |

  10. A kite is moving horizontally at a height of 151.5 m. If the speed of ...

    Text Solution

    |

  11. A ladder 20 ft long has one end on the ground and the other end in con...

    Text Solution

    |

  12. Find the approximate values of : f(x)=x^(3)-3x+5" at "x=1.99.

    Text Solution

    |

  13. Find approximate value of 1/(sqrt(25. 1)) using differentials.

    Text Solution

    |

  14. Using differentials, find the approximate value of 1/((2. 002)^2)

    Text Solution

    |

  15. Approximate (80)^(1//4) using differentials

    Text Solution

    |

  16. Find the approximate values of : cot^(-1)(1.001)

    Text Solution

    |

  17. Approximate value of tan^(-1)(0.999) is

    Text Solution

    |

  18. cos(90^(@)30'), approximately given that 1^(@)=0.0175 is

    Text Solution

    |

  19. The apprximate value of sin(31^(@)), given that 1^(@)=0.0175, cos 30^(...

    Text Solution

    |

  20. The approximate value of tan46^@ is (given 1^@=0.0175radians)

    Text Solution

    |