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

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 9 cm.

Text Solution

Verified by Experts

The correct Answer is:
`324pi"cm"^(3)//sec`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION III)|25 Videos
  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION IV)|24 Videos
  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE) (SECTION I) (Multiple Choice Questions)|10 Videos
  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE|36 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 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 balloon which always remain spherical has a variable radius. Find the rate at which its volume is increasing with the radius when the later is 10 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 ballon, which always remains spherical has a variable diameter 3/2 (2x+3) . Determine the rate of change of volume w.r.t.x.

The volume of a spherical balloon is increasing at the rate of 20 cm^3/sec . Find the rate at which its surface area is increasing at the instant when its radius is 4 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 .

A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cm^3 0f gas per sec. Find the rate at which the radius of the balloon increases when the radius is 15 cm.

The surface area of spherical bubble is increasing at the rate of 2 [cm]^2/sec . Find the rate at which the volume of the bubble is increasing at the instant its radius is 6 cm.

BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-ASSIGNMENT (SHORT ANSWER TYPE QUESTIONS) (SECTION II)
  1. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  2. The radius of a circle is increasing uniformly at the rate of 7cm/sec....

    Text Solution

    |

  3. The radius of a circle is increasing uniformly at the rate of 11 cm pe...

    Text Solution

    |

  4. The radius of a balloon is increasing at the rate of 10 cm/sec. At wha...

    Text Solution

    |

  5. The volume of a balloon is changing at the rate of 25 "cm"^(3)//sec. F...

    Text Solution

    |

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

    Text Solution

    |

  7. The volume of a cube is increasing at the rate of 9 "cm"^(3)//sec. How...

    Text Solution

    |

  8. The radius of a spherical spherical bubble is increasing at the rate o...

    Text Solution

    |

  9. The radius of a spherical soap bubble is increasing at the rate of 0.3...

    Text Solution

    |

  10. The radius of a spherical soap bubble is increasing at the rate of 0.2...

    Text Solution

    |

  11. The radius of a spherical soap bubble is increasing at the rate of 0.2...

    Text Solution

    |

  12. The radius of a spherical soap bubble is increasing at the rate of 0.4...

    Text Solution

    |

  13. The radius of a spherical soap bubble is increasing at the rate of 0.4...

    Text Solution

    |

  14. A particle moves along the curve 6y = x^3+2. Find the points on the cu...

    Text Solution

    |

  15. A particle moves along the curve y=4/(3)x^(3)+5. Find the points on th...

    Text Solution

    |

  16. A particle moves along the curve x^(2)=2y. At what point the y-coordin...

    Text Solution

    |

  17. A man 160 cm tall, walks away from a source of light situated at the t...

    Text Solution

    |

  18. Sand is pouring from a pipe at the rate of 9 "cm"^(3)//s. The falling ...

    Text Solution

    |

  19. A man is walking at the rate of 6.5km/h towards the foot of a tower 12...

    Text Solution

    |

  20. A ladder 16 m long is leaning against a wall. The bottom of the ladder...

    Text Solution

    |