Home
Class 12
MATHS
The radius of a circular plate is increa...

The radius of a circular plate is increasing at the rate of 0.01 cm/s when the radius is 12 cm. Then the rate at which the area (in `cm^(2)//s`) increases is -

A

`0.25pi`

B

`0.60pi`

C

`1.2pi`

D

`0.24pi`

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 7|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 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 circular plate increases at the rate of 0.002 cm/s.. How fast is the area changing when radius is 14 cm?

The radius of a circular plante increased at the rate of 0.002 cm/s. How fast is the area changing when radius is 14 cm?

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

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 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 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 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-

The radius of a cylinder is increasing at the rate of 3 m/s and its altitude is decreasing at the rate of 4m/s. The rate of change of volume (m^(3)//s) when radius is 4 m and altitude 6 m is -

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

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 8
  1. If the line 2x+sqrt(6)y=2 is a tangent to the hyperbola x^(2)-2y^(2)=...

    Text Solution

    |

  2. The equation of the normal to the curve x^(3)+y^(3)=8xy at the point w...

    Text Solution

    |

  3. The curve x=1-3t^(2), y=t-3t^(3) is symmetrical with respect to -

    Text Solution

    |

  4. The equation of the curve in which the portion of the tangent between...

    Text Solution

    |

  5. The equation of the normal to the parabola y^(2)=5x. Which makes an a...

    Text Solution

    |

  6. The maximum value of Z=3x+4y subject to the constraints x+y le 40, x...

    Text Solution

    |

  7. The minimum value of (1)/(2)(7-cos2x) is -

    Text Solution

    |

  8. If g(x)=min(x, x^(2)) where x is a real number then -

    Text Solution

    |

  9. The value of a so that the sum of the squares of the roots of the equ...

    Text Solution

    |

  10. Twenty metres are available to fence a land in the form of a circular...

    Text Solution

    |

  11. Area ( in square unit) of the greatest rectangle that can be inscribe...

    Text Solution

    |

  12. The point on the parabola 2y=x^(2), which is nearest to the point (0,...

    Text Solution

    |

  13. Let f(x) be a differentiable function. If h(x)=(1)/(3) {f(x)}^(3)+{f...

    Text Solution

    |

  14. What is the value of b for which the function f(x)=sinx-bx+c is decre...

    Text Solution

    |

  15. The radius of a circular plate is increasing at the rate of 0.01 cm/s ...

    Text Solution

    |

  16. A spherical balloon is being inflated at the rate of 35 cm^(3)/min. Th...

    Text Solution

    |

  17. Electric current C, measured by a galvanometer, is given by the equati...

    Text Solution

    |

  18. The value of Var (4x+3) is

    Text Solution

    |

  19. If the side of an equilateral triangle increases at the rate of sqrt(3...

    Text Solution

    |

  20. If y=3x^(2)+2 and if x changes from 10 to 10.1, then the approximate ...

    Text Solution

    |