Home
Class 12
MATHS
The volume of spherical ball is increasi...

The volume of spherical ball is increasing at the rate of `4pi "cc/sec"`. If its volume is `288 pi" cc",` then the rate of change of its radius is

A

`(pi)/(36)` cm/sec

B

`(4pi)/(6)` cm/sec

C

`(1)/(36)` cm/sec

D

`(1)/(6)` cm/sec

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos
  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

If the volume of spherical ball is increasing at the rate of 4pi" cc/s" , then the rate of change of its surface area when the volume is 288 pi cc is

The volume of the spherical ball is increasing at the rate of 4pi cc/sec. Find the rate at which the radius and the surface area are changing when the volume is 288pi cc.

The volume of a spherical balloon is increasing at the rate of 20 cm^3/sec . Find the rate of change of its surface area at the instant when radius is 5 cm.

The diameter of a circle is increasing at the rate of 1 cm/sec. When its radius is pi , the rate of increase of its area, is

6) The volume of a spherical balloon is increasing at the rate of 20cm/sec. Find the rate of change of its surface area at the instant when its radius is 8cm.

IF the volume of a spherical balloon is increasing at the rate of 900cm^3//sec , then the rate of change of radisu of balloon at an instant when radius is 15cm [in cm//sec ] is

The radius of a soap bubble is increasing at the rate of 0.2 cm/sec. It its radius is 5 cm, find the rate of increase of its volume.

The radius of spherical bubble is changing with time. The rate of change of its volume is given by :

The volume of a spherical balloon is increasing at a rate of 25 cm^(3)//sec . Find the rate of increase of its curved surface when the radius of balloon is 5 cm.

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. एक गुब्बारा जो सदैव गोलाकार रहता है का परिवर्तन व्यास 3/2(2x+1) है x क...

    Text Solution

    |

  2. A spherical snow ball is melting so that its volume is decreasing at t...

    Text Solution

    |

  3. The volume of spherical ball is increasing at the rate of 4pi "cc/sec"...

    Text Solution

    |

  4. If the volume of spherical ball is increasing at the rate of 4pi" cc/s...

    Text Solution

    |

  5. Gas is being pumped into a a spherical balloon at the rate of 30 ft^(3...

    Text Solution

    |

  6. A spherical balloon is filled with 4500p cubic meters of helium gas...

    Text Solution

    |

  7. A spherical iron ball 10cm in radius is coated with a layer of ice of ...

    Text Solution

    |

  8. The surface area of a spherical balloon is increasing at the rate of 2...

    Text Solution

    |

  9. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |

  10. Water is being poured at the rate of 36" m"^(3)//"sec" in a cylindrica...

    Text Solution

    |

  11. The radius of a cylinder is increasing at the rate of 3ms^(-1) and its...

    Text Solution

    |

  12. A cone has a depth of 15cm and a base of 6 cm radius. Water is poured ...

    Text Solution

    |

  13. Sand is pouring at the rate of 12 cm^(3)"/sec". The falling sand forms...

    Text Solution

    |

  14. A water is poured into an inverted cone whose semi-vertical angle is 4...

    Text Solution

    |

  15. A water is poured into an inverted cone at the rate of 270 cc/sec. The...

    Text Solution

    |

  16. A kite is flying at a height of 16 meters. A boy who is flying it, is ...

    Text Solution

    |

  17. An aeroplane at an altitude of 1 km flying horizontally at 800 km/hr p...

    Text Solution

    |

  18. Find the approximate value of (4.01)^3 .

    Text Solution

    |

  19. Find the approximate values of : (4.01)^(5)

    Text Solution

    |

  20. Find the approximate value of sqrt(8.95)

    Text Solution

    |