Home
Class 12
MATHS
The surface area of a spherical bubble i...

The surface area of a spherical bubble is increasing at the rate of `2 cm^(2)//s`. Then the rate at which the volume of the bubble is increasing at the instant when its radius is 6 cm, is-

A

`3 cm^(3)//s`

B

`2 cm^(3)//s`

C

`4 cm^(3)//s`

D

`6 cm^(3)//s`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 5|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 2|30 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

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?

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.

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?

An edge of a variable cube is increasing at the rate of 2 cm//s . When the edge of a cube is 8 cm long, then its volume will increase at the rate of-

A spherical balloon is being inflated at the rate of 35 cm^(3) /min. Then the rate of increase of the surface area (in cm^(2) /min) of the balloon when its diameter is 14 cm, is -

If the radius of a circle changes at a uniform rate of 2 cm/s, find the rate of change of area of the circle, at the instant when the radius is 20 cm.

The sides of an equilateral triangle are increasing at the rate of 2 cm//s ., then the rate at which the area (in cm^(2)//s ) increases when the side is 10 cm , is-

The radius of a circle is increasing at a rate of 2.5 cm/sec. Find the rate of increase of the area of the circle when its radius is 5cm.

The radius of a spherical balloon is decreasing at the rate of 10 cm per second. At what rate is the surface area of the balloon decreasing when its radius is 15 cm?

A spherical balloon is expanding. If the redius is increasing at the rate of 5 cm per minute, the rate at which the volume increases ( in cubic centimeter per minute ) when the radius is 10 cm is 400pi k, find k.

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 3
  1. The equation of the normal to the ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

    Text Solution

    |

  2. The point on the curve sqrt(x) + sqrt(y) = sqrt(a), the normal at whic...

    Text Solution

    |

  3. The slope of the tangent to the curve x= 3t^(2) +1, y=t^(3)-1 at x=1...

    Text Solution

    |

  4. If the area above the x-axis bounded by the curve y=2^(kx) and the lin...

    Text Solution

    |

  5. If the line x+y =1 is a tangent to the parabola y^(2)-y +x=0, then th...

    Text Solution

    |

  6. The angle between the curves y= sin x and y= cos x is-

    Text Solution

    |

  7. The function f(x)=cos x - 2ax is monotonically decreasing when-

    Text Solution

    |

  8. If PQ and PR are the two sides of a triangle, then the angle between ...

    Text Solution

    |

  9. The function f(x)=x^(3) +3x^(2) +4x+7 is increasing for-

    Text Solution

    |

  10. If x+y=60, x, y gt 0, then the maximum value of xy^(3) is-

    Text Solution

    |

  11. The points of extrema of f(x)= int(0)^(x) (sin t)/(t)dt in the domain ...

    Text Solution

    |

  12. If the function f(x)= 2x^(3)-9ax^(2) +12a^(2)x +1, where a gt 0 attai...

    Text Solution

    |

  13. A land in the form of a circular sector has been fenced by wire of 40 ...

    Text Solution

    |

  14. The maximum value of the function f(x)=3 cos x - 4 sin x is-

    Text Solution

    |

  15. The function f(x)= (lamda sin x + 6 cos x )/(2 sin x + 3 cos x) is ...

    Text Solution

    |

  16. The surface area of a spherical bubble is increasing at the rate of ...

    Text Solution

    |

  17. A point on the parabola y^(2)=18x at which the ordinate increases at t...

    Text Solution

    |

  18. A function y=f(x) has a second order derivative f''(x)=6(x-1). If its ...

    Text Solution

    |

  19. Maximize : Z=5y+2x subject to constraints- x+2y le 4, 7x + 8y ge 56...

    Text Solution

    |

  20. An open box with a square base is made out of a given iron sheet of ar...

    Text Solution

    |