Home
Class 12
MATHS
The rate of change of the volume of a sp...

The rate of change of the volume of a sphere w.r.t. its surface area, when the radius is 2 cm, is        1       (b)  2            (c)  3        (d)  4

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

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

Find the rate of change of the area of a circle with respect to its radius r when r=7cm .

Find the rate of change of the area of a circle with respect to its radius r when r=12cm .

Find the rate of change of the area of a circle per second with respect to its radius r when r = 5 cm.

The radius of sphere is 3.5 cm Find its surface area and volume .

The volume of a solid sphere of radius 2r units 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 the volume and surface area of a sphere of radius 2.1 cm (pi = (22)/(7))

If the time rate of change of the radius of a sphere is (1)/(2pi) , then the rate of change of its surface area(in square cm), when the radius is 5 cm , is-

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If there is an error of k % in measuring the edge of a cube, then the...

    Text Solution

    |

  2. Prove that the function f(x)=(log)e(x^2+1)-e^(-x)+1 is strictly increa...

    Text Solution

    |

  3. The rate of change of the volume of a sphere w.r.t. its surface area, ...

    Text Solution

    |

  4. Prove that the function are increasing for the given intervals: f(x)=s...

    Text Solution

    |

  5. A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. ...

    Text Solution

    |

  6. Prove that the function are increasing for the given intervals: f(x)=s...

    Text Solution

    |

  7. A man 2m tall, walks at the rate of 1 2/3m//s e c towards a street lig...

    Text Solution

    |

  8. Find the least value of k for which the function x^2+k x+1 is an inc...

    Text Solution

    |

  9. At the point P(a , a^n) on the graph of y=x^n ,(n in N), in the first...

    Text Solution

    |

  10. If f:[0,oo]toR is the function defined by f(x)=(e^(x^2)-e^(-x^2))/(e^(...

    Text Solution

    |

  11. Find the coordinates of a point the parabola y^(2)=8x whose distance f...

    Text Solution

    |

  12. Test whether the following functions are increasing or decreasing : f(...

    Text Solution

    |

  13. The radius of a right circular cylinder increases at the rate of 0.1 c...

    Text Solution

    |

  14. Suppose that f is differentiable for all x and that f^(prime)(x)lt=2 f...

    Text Solution

    |

  15. Prove that the function are increasing for the given intervals: f(x)=e...

    Text Solution

    |

  16. The tangent to the curve y=e^(k x) at a point (0,1) meets the x-axis a...

    Text Solution

    |

  17. A cube of ice melts without changing its shape at the uniform rate o...

    Text Solution

    |

  18. Using Rolles theorem, prove that there is at least one root in (45^(1/...

    Text Solution

    |

  19. If |f(x2)-f(x1)|le(x2-x1)^2AAx1,x2inR, then the equation of tangent to...

    Text Solution

    |

  20. If f(x) is a twice differentiable function such that f(a)=0, f(b)=2, f...

    Text Solution

    |