Home
Class 12
MATHS
Air is expelled from a spherical balloon...

Air is expelled from a spherical balloon by decressing the radius at the rate of `(1)/(8)` cm/s. At what rate is the air escaping when the radius is 10 cm?

Text Solution

Verified by Experts

The correct Answer is:
`50 pi cm^(3)//s`
Promotional Banner

Topper's Solved these Questions

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|23 Videos
  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION|20 Videos
  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|19 Videos
  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

Similar Questions

Explore conceptually related problems

The radius of an air bubble is increasing at the rate of (1)/(2) cm/s. At what rate is the volume of the bubble increasing when the radius is 1 cm?

The radius of a spherical balloon is decreasing at the rate of 10 cm per second. At what rate is the surface area of the balloon decreasing when its radius is 15 cm?

A sphereical balloon is being fiiled with air at the rate of 25 cm^(3) /s. How fast is the radius increasing when the balloon is 20 cm in diameter?

The radius of a circular plate increases at the rate of 0.002 cm/s.. How fast is the area changing when radius is 14 cm?

The radius of a circular plante increased at the rate of 0.002 cm/s. How fast is the area changing when radius is 14 cm?

The radius of a circle is increasing uniformly at the rate of 3 cm/s. Find the rate at which the area of the circle is increasing when the radius is 10 cm.

The volume of a cube is increasing at the rate of 8 cm^(3) /s. How fast is the surface area increasing when the length of an edge is 12 cm?

An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

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.

Air is being pumped into a spherical balloon at the rate of 30 cm^(3)//s . Then the rate (in cm//s ) at which the radius increases when it reaches the value 15 cm , is-

CHHAYA PUBLICATION-SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE-SHORT ANSWER TYPE QUESTIONS
  1. Using the method of differentials, find the approximate values of sq...

    Text Solution

    |

  2. Using the method of differentials, find the approximate values of sq...

    Text Solution

    |

  3. Using the method of differentials, find the approximate values of sq...

    Text Solution

    |

  4. Using the method of differentials, find the approximate values of sq...

    Text Solution

    |

  5. If f(x) = 3x^(2) + 15x + 5, then find the approximate value of f(3.02...

    Text Solution

    |

  6. If y = x^(4) - 12 and if x changes from 2 to 1.99, what is the approx...

    Text Solution

    |

  7. If the error in measuring a side of a cube is 5% , find the percentage...

    Text Solution

    |

  8. The side of a square is measured with an error less than 0.01 cm. The ...

    Text Solution

    |

  9. Using the method of differential find approximately the difference bet...

    Text Solution

    |

  10. Using the method of differential find approximately the difference bet...

    Text Solution

    |

  11. If the area of circle changes uniformly w.r.t. time , show that the ra...

    Text Solution

    |

  12. A particle moves along the curve y^(2) = 8x . At what point on the cu...

    Text Solution

    |

  13. A sphereical balloon is being fiiled with air at the rate of 25 cm^(3...

    Text Solution

    |

  14. Air is expelled from a spherical balloon by decressing the radius at t...

    Text Solution

    |

  15. If gamma be the increase in volume of the cube of unit volume and bet...

    Text Solution

    |

  16. O is fixed point on the straight line traced out by a moving particle....

    Text Solution

    |

  17. If the side of an equilateral triangle increases at the rate of sqrt(3...

    Text Solution

    |

  18. While a train is travelling from rest to the next station, its disatnc...

    Text Solution

    |

  19. The side of a square is measured with an error less than 0.01 cm. The ...

    Text Solution

    |

  20. Q units of heat is required to raise the temperature of 1 gm. Water fr...

    Text Solution

    |