Home
Class 12
MATHS
A balloon which always remain spherical ...

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.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 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 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.

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 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.

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. A balloon which always remain spherical has a variable radius. Find th...

    Text Solution

    |

  2. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  3. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

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

    Text Solution

    |

  5. The radius of a soap-bubble is increasing at the rate of 0.2cm/s. Find...

    Text Solution

    |

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

    Text Solution

    |

  7. The radius of a circle is increasing uniformly at the rate of 4 cm per...

    Text Solution

    |

  8. If the area of a circle increases uniformly, then show that the rate o...

    Text Solution

    |

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

    Text Solution

    |

  10. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

    Text Solution

    |

  11. The radius of spherical balloon is increasing at the rate 5 cm per sec...

    Text Solution

    |

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

    Text Solution

    |

  13. A balloon, which always remains spherical, has a variable diameter 3/2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The volume of a cube is increasing at the rate of 8 cm^3/s. How fast i...

    Text Solution

    |

  17. The volume of a cube is increasing at the rate of 7 cubic metre per se...

    Text Solution

    |

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

    Text Solution

    |

  19. A particle move along the curve 6y = x^3 +2. Find the points on the cr...

    Text Solution

    |

  20. The radius of a cylinder increases at the rate of 1 cm/s and its heigh...

    Text Solution

    |

  21. The contentment obtained after eating X-units of a new dish at a trial...

    Text Solution

    |