Home
Class 12
PHYSICS
Radius of a spherical balloon is increas...

Radius of a spherical balloon is increasing with respect to time at the rate of `2//pi" "m//s`. Find the rate of change in volume (in `m^(3)//s`) of the balloon when radius is 0.5 m?

Text Solution

Verified by Experts

The correct Answer is:
`5.2`m3/s
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN |Exercise Basic Maths (Integration)|12 Videos

  • RACE

    ALLEN |Exercise Basic Maths (Graphs))|28 Videos

  • RACE

    ALLEN |Exercise Basic Maths (Trigonometry)|22 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

If radius of a spherical bubble starts to increase with time t as r=0.5t . What is the rate of change of volume of the bubble with time t=4s ?

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

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 spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.

The surface area of a spherical bubble is increasing at the rate of 2 c m^2//s . When the radius of the bubble is 6cm, at what rate is the volume of the bubble increasing?

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

A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cubic centimetres of gas per second. Find the rate at which the radius of the balloon increases when the radius is 15 cm.

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

ALLEN -RACE-Basic Maths (Differentiation)
  1. The maximum & minimum value of y=x+(1)/(x) in interval [(1)/(3),(4)/(3...

    Text Solution

    |

  2. Which of the following statements is/are correct?

    Text Solution

    |

  3. Radius of a spherical balloon is increasing with respect to time at th...

    Text Solution

    |

  4. If derivative of y=8sqrt(sinx)" is "(dy)/(dx)=(kcosx)/(sqrt(sinx)), wh...

    Text Solution

    |

  5. Given that y=sin3x+(4)/(3)cos3x. What is the maximum rate of change in...

    Text Solution

    |

  6. Find the first derivatives (i) If y=x^(-1//3)," find "(dy)/(dx) (i...

    Text Solution

    |

  7. Differentiation of cos (sqrt(x)) with respect to x is

    Text Solution

    |

  8. The pressure P and volume V of a gas are related as PV^(3//2)=K where ...

    Text Solution

    |

  9. Given a function y=x^(2)-2sqrt(x). What is rate of change in y with re...

    Text Solution

    |

  10. The height (in meters) at any time t (in seconds) of a ball thrown ver...

    Text Solution

    |

  11. An ideal gas is subjected to a thermodynamic process PV^(2//5)=0.40 wh...

    Text Solution

    |

  12. The slope of the tangent to the curve y=ln(cosx)" at "x=(3pi)/(4)" i...

    Text Solution

    |

  13. A stone is dropped into a quiet lake and waves move in circles spreadi...

    Text Solution

    |

  14. The charge flowing throug a conductor beginning with time to=0 is give...

    Text Solution

    |

  15. Differentiate the following w.r.t.x

    Text Solution

    |

  16. Calculate (dy)/(dx) for the following :-

    Text Solution

    |

  17. If y=e^(x)sin x, then find (dy)/(dx)

    Text Solution

    |

  18. Position of particle moving along x-axis is given as x=2+5t+7t^(2) the...

    Text Solution

    |

  19. A metallic disc is being heated. Its area (in m^(2)) at any time t (in...

    Text Solution

    |

  20. If the velocity of a paraticle moving along x-axis is given as v=(4t^(...

    Text Solution

    |