Home
Class 12
MATHS
A balloon which always remains spherical...

A balloon which always remains spherical is being inflated by pumping in 10 cubic centimeters of gas per second. Find the rate at which the radius of the balloon is increasing when the radius is 15cm.

A

`1/(90 pi) (cm)/sec`

B

`1/(9pi) (cm)/sec`

C

`1/(30 pi) (cm)/sec`

D

`1/pi (cm)/sec`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST - 2018

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

A balloon which always remains spherical is being inflated by pumping in 10 cubic centrimeters of gas per second . Find the rate at which the radius 15 cm .

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

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 a circle is increasing uniformly at the ratio 3 cm/s. Find the rate at which the area of the circle is increasing when the radius is 10 cm.

A balloon which remains spherical has a vertical radius. Find the rate at which its volume is increasing with the radius when the radius is 10 cm.

A circular disc of radius 3 cm is being heated. Due to expansion, its radius increased at the rate of 0.05 cm//s . Find the rate at which its area is increasing when radius is 3.2 cm.

A balloon, which always remains spherical has a variable radius. Find the rate at which its volume is increasing with the radius when the later is 10 cm.

A balloon, which always remains spherical, has a variable diameter (3)/(2) (2x+1) . Find the rate of change of its volume with respect to x.

A sphere increases its volume at the rate of picc//s . The rate at which its surface area increases when the radius is 1 cm is

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2015-QUESTION BANK
  1. If f(x)=2x^(2), find (f(3.8)-f(4))/(3.8-4) :

    Text Solution

    |

  2. If x = ct and y = c/t , find (dy)/(dx) at t = 2 .

    Text Solution

    |

  3. A balloon which always remains spherical is being inflated by pumping ...

    Text Solution

    |

  4. int (sin^(2)x)/(1+cos x) dx is equal to

    Text Solution

    |

  5. Evaluate : int e^(x) ((1 + sin x)/( 1+ cos x)) dx

    Text Solution

    |

  6. If 1, w, w^(2) are three cube roots of unity, then (1 - w+ w^(2)) (1 +...

    Text Solution

    |

  7. Solve for x tan^(-1) ((1-x)/(1+x))=(1)/(2) tan^(-1)x, x gt 0

    Text Solution

    |

  8. The system of linear equations x+y+z = 6, x+2y+3z = 10 and x + 2y +az ...

    Text Solution

    |

  9. The value of tan (1^(@)) + tan (89^(@)) is

    Text Solution

    |

  10. If ((x+1)^(2))/(x^(3)+x)=A/x +(Bx+C)/(x^(2)+1) then "cosec"^(-1) (1/A...

    Text Solution

    |

  11. The remainder obtained when 1! + 2! + 3!+….+ 11! is divided by 12 is

    Text Solution

    |

  12. If alpha le 2 sin^(-1) x + cos^(-1) x le beta, then

    Text Solution

    |

  13. If A= [(0,1),(1,0)], then A^(2) equal to

    Text Solution

    |

  14. The function f(x)= [x], where [x] denotes greatest integer function is...

    Text Solution

    |

  15. If y= log ((1-x^(2))/(1+ x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  16. The two curves x^(3) - 3xy^(2) + 2 = 0 and 3x^2y - y^(3) = 2

    Text Solution

    |

  17. If x is real, the minimum value of x^(2)-8x+17 is :

    Text Solution

    |

  18. int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to

    Text Solution

    |

  19. The order of differential equation of all circles of given radius 'a' ...

    Text Solution

    |

  20. Find the general solution of the differential equation x(dy)/(dx)+ 2y=...

    Text Solution

    |