Home
Class 12
MATHS
Find the rate of change of the area of a...

Find the rate of change of the area of a circle with respect to its radius 'r' when r = 2 cm.

Text Solution

Verified by Experts

The correct Answer is:
`10pi"cm"^(2)//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

Find the rate of change of the area of a circle with respect to its radius r when : r = 8 cm

Find the rate of change of the area of a circle with respect to its radius r when : r = 3 cm

Find the rate of change of the area of a circle with respect to its radius r when r = 3 cm

Find the rate of change of the area of a circle with respect to its radius r when r = 4 cm

Find the rate of change of the area of the circle with respect to its radius r when r = 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

    |