Home
Class 12
MATHS
The rate of change of surface area of a ...

The rate of change of surface area of a sphere w.r.t. radius is ………..

A

`8pi` (diameter)

B

`3pi` (diameter)

C

`4pi` (radius)

D

`8pi` (radius)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

Rate of increase in surface area of a sphere w.r.t radius is ……….

Find the surface area of a sphere of radius 7 cm.

The rate of change of volume of a cylinder w.r.t. radius whose radius is equal to its height is ……….

Find the rate of change of radius of a sphere when its radius is 4 cm and when its volume is changing at the rate of (4pi)/(625)m^(3)//sec

What is the rate of change of the volume of sphere w.r.t. its surface area when its radius is 2 units ?

The rate of change of the area of a circle with respect to its radius r at r = 6 cm is ……….

The rate of cange of volume of sphere with respect to its radius r at r = 2 is __________.

Find the rate of change of the area of a circle with respect to its radius r when (a) r=3 cm " " (b) r=4 cm

Find : (i) the curved surface area and (ii) the total surface area of a hemisphere of radius 21 cm.

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents ...

    Text Solution

    |

  2. The point on y^(2)=x where tangent makes angle of measure (pi)/(4) wit...

    Text Solution

    |

  3. A cone with its height equal to the diameter of the base is expanding ...

    Text Solution

    |

  4. The rate of increase of f(x)=x^(3)-5x^(2)+5x+25 is twice the rate of i...

    Text Solution

    |

  5. The radius of the cone is increasing at the rate of 4 cm/se. Its heigh...

    Text Solution

    |

  6. The rate of change of surface area of a sphere w.r.t. radius is ………..

    Text Solution

    |

  7. The rate of change of volume of a cylinder w.r.t. radius whose radius ...

    Text Solution

    |

  8. f(x)=tan^(-1)x-x, is …………

    Text Solution

    |

  9. f(x)=2x-tan^(-1)x-log|x+sqrt(1+x^(2))| is ……….. (x in R)

    Text Solution

    |

  10. If ……….., then f(x)=x^(2)-kx+20, [0,3] is strictly increasing.

    Text Solution

    |

  11. f(x)=|x-1|+|x-2| is increasing if ………..

    Text Solution

    |

  12. The points on the curve 9y^(2)=x^(3), where the normal to the curve ma...

    Text Solution

    |

  13. y=mx+4 touches y^(2)=8x, if m = ………..

    Text Solution

    |

  14. The measure of the angle between the curves y=2 sin^(2)x and y = cos 2...

    Text Solution

    |

  15. The normal to x^(2)=4y passing through (1, 2) has equation ……….

    Text Solution

    |

  16. The local minimum value of x^(2)+(16)/(x)(x ne 0) is ………….

    Text Solution

    |

  17. The minimum value of sec x, x in [(2pi)/(3),pi] is ……….

    Text Solution

    |

  18. The maximum value of cosec x, x in [(pi)/(6), (pi)/(3)] is ………

    Text Solution

    |

  19. (31)^((1)/(5)) has approximate value ………..

    Text Solution

    |

  20. f(x)=x^(2)+4x+5 has minimum value ………… (x in R)

    Text Solution

    |