Home
Class 12
MATHS
The radius of a spherical roap bubble is...

The radius of a spherical roap bubble is increasing at the rate of 0.4 cm per second. Find the rate of change of its volume, when the radius is 7 cm.

Text Solution

Verified by Experts

The correct Answer is:
`78.4pi"cm"^(3)//sec`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE (Multiple choice questions)|3 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

The radius of a spherical soap bubble is increasing at the rate of 0.5 cm per second. Find the rate of change of its volume, when the radius is 10 cm.

The radius of a spherical soap bubble is increasing at the rate of 0.2 cm/sec. Find the rate of increase of its volume when the radius is 4 cm.

The radius of a spherical soap bubble is increasing at the rate of 0.3cm/s. Find the rate of change of its: Volume when the radius is 8 cm.

BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE
  1. The radius of a spherical soap bubble is increasing at the rate of 0.5...

    Text Solution

    |

  2. The radius of a spherical roap bubble is increasing at the rate of 0.2...

    Text Solution

    |

  3. The radius of a spherical roap bubble is increasing at the rate of 0.4...

    Text Solution

    |

  4. Find the equation of the tangent to the curve y=2x^(3)+7, which is per...

    Text Solution

    |

  5. Find the equation of the tangent to the curve y=x^(2)+4x+6, which is p...

    Text Solution

    |

  6. Find the equation of the tangent to the curve x^(3)+4y=4, which is per...

    Text Solution

    |

  7. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  8. Find the intervals in the following functions are strictly increasing ...

    Text Solution

    |

  9. Find the intervals in the following functions are strictly increasing ...

    Text Solution

    |

  10. Use differentials to approximate sqrt(25.3)

    Text Solution

    |

  11. Use differentials to approximate 3sqrt(26)

    Text Solution

    |

  12. Use differentials to approximate sqrt(0.60)

    Text Solution

    |

  13. A wire of length 28 m is to be cut into two pieces, one of the pieces ...

    Text Solution

    |

  14. Using differentials to approximate 3sqrt0.009

    Text Solution

    |

  15. The radius of a circle is increasing uniformly at the rate of 5cm/sec....

    Text Solution

    |

  16. Find the equations of the tangent and normal to the hyperbola x^2/a^2 ...

    Text Solution

    |

  17. Find the equation of tangent and normal to the hyprobola x^(2)=4y at (...

    Text Solution

    |

  18. Find both the maximum value and the minimum value of 3x^4-8x^3+12x^2-4...

    Text Solution

    |

  19. Find the maximum value of 2x^3 - 24x + 107 in the interval [1,3]. Fin...

    Text Solution

    |

  20. Find local maximum and local minimum value of f(x)=xsqrt(1-x:x)gt0

    Text Solution

    |