Home
Class 12
MATHS
The radius of an air bubble is increasin...

The radius of an air bubble is increasing at the rate of 1/2 cm/sec. At what rate is the volume of the bubble increasing when the radius is 1 cm?

Text Solution

Verified by Experts

The correct Answer is:
`2pi cm^(3)` /s
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.2|22 Videos
  • APPLICATION OF DERIVATIVES

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

    NCERT TELUGU|Exercise EXERCISE 6.6|22 Videos
  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

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 sphere increases at the rate of 0.03 cm/sec. Find the rate of increase in the volume of the sphere when the radius is 5 cm.

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?

The volume of a cube is increasing at the rate of 8cm^3//sec. How fast is the surface area increasing when the length of an edge is 12 cm ?

The volume of a sphere is increasing at the rate of 1200 c.cm/sec. The rate of increase in its surface area when the radius is 10 cm is

NCERT TELUGU-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 a rate of 8 cubie centimeters pe...

    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 ripples move in circles at th...

    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 inflate...

    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/sec. A...

    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 cubic cm./sec. The falli...

    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

    |