Home
Class 12
MATHS
The radius of a cylinder is increasing a...

The radius of a cylinder is increasing at the rate of 2m/s. and its altitude is decreasing at the rate of 3m/s. Find the rate of change of volume when radius is 3 metres and altitude is 5 metres.

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

The radius of a cylinder is increasing at the rate of 2 cm/sec and the height is decreasing at the rate of 3 cm/sec. The rate of change of volume when the radius is 3 cm and height is 5 cm.

The radius of a cylinder increases at the rate of 1 cm/s and its height decreases at the rate of 1 cm/s. Find the rate of change of its volume when the radius is 5 cm and the height is 15 cm. If the volume should not change even when the radius and height are changed, what is the relation between the radius and height?

The radius of a cylinder is increasing at the rate of 2m/sec and its height is decreasintg at the rate of 3 m/sec. Find the rate at which the volume of the cylinder is changing when the radius is 3 m and height is 5 m.

Radius of a sphere is increasing at the rate of 2 cm/s The rate of change of its volume, when radius is 6 cm, is

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

Edge of a cube is increasing at the rate of 2 cm/s. The rate of change of its volume when the edge is 3 cm is :

The length of a rectangle is increasing at the rate of 3.5 cm/sec and its breadth is decreasing at the rate of 3cm/sec. Find the rate of change of the area of the rectangle when length is 12 cm and breadth is 8 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.

The length 'x' of a rectnagle is decreasing at the rate of 3cm/m and thw width 'y' is increasing at the rate of 2 cm/m. Find the rates of change of: the perimeter

The radius of a circular soap bubble is increasing at the rate of 0.2 cm/s. Find the rate of change of its: Volume when the radius is 4 cm.

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. The radius of a cylinder is increasing at the rate of 2m/s. and its al...

    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

    |