Home
Class 12
MATHS
A balloon, which always remains spherica...

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

Text Solution

Verified by Experts

The correct Answer is:
`(8)/(3)` cm /s
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.2|23 Videos
  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.3|31 Videos
  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.6|24 Videos
  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

A balloon, which always remains spherical has a variable radius. Find the rate at which its volume is increasing with the radius when the later is 10 cm.

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.

If water is poured into an inverted hollow cone whose semi-vertical angel is 30^0, and its depth (measured along the axis) increases at the rate of 1 cm/s. Find the rate at which the volume of water increases when the depth is 24 cm.

A balloon, which always remains spherical, has a variable diameter (3)/(2) (2x+1) . Find the rate of change of its volume with respect to x.

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

The volume of a cube is increasing at a rate of 9 cubic centimetres per second. How fast is the surface area increasing when the length of an edge is 10 centimetres ?

Find the rate of change of the area of a circle per second with respect to its radius r when r = 5 cm.

NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.1
  1. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  2. The volume of a cube is increasing at the rate of 8 cm^(3) /s. How fas...

    Text Solution

    |

  3. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

    Text Solution

    |

  4. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

    Text Solution

    |

  5. A stone is dropped into a quiet lake and waves move in circles at the ...

    Text Solution

    |

  6. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  7. The length x of a rectangle is decreasing at the rate of 5 cm/minute a...

    Text Solution

    |

  8. A balloon, which always remains spherical on inflation, is being infla...

    Text Solution

    |

  9. A balloon, which always remains spherical has a variable radius. Find ...

    Text Solution

    |

  10. A ladder 5 m long is leaning against a wall. The bottom of the ladder ...

    Text Solution

    |

  11. A particle moves along the curve 6y = x^(3) +2. Find the points on the...

    Text Solution

    |

  12. The radius of an air bubble is increasing at the rate of (1)/(2) cm/s....

    Text Solution

    |

  13. A balloon, which always remains spherical, has a variable diameter (3)...

    Text Solution

    |

  14. Sand is pouring from a pipe at the rate of 12 cm^(3) /s. The falling s...

    Text Solution

    |

  15. The total cost C(x) in Rupees associated with the production of x unit...

    Text Solution

    |

  16. The total revenue in Rupees received from the sale of x units of a pro...

    Text Solution

    |

  17. The rate of change of the area of a circle with respect to its radius ...

    Text Solution

    |

  18. The total revenue in Rupees received from the sale of x units of a pro...

    Text Solution

    |