Home
Class 12
MATHS
The rate of change of volume of a sphere...

The rate of change of volume of a sphere with respect to its radius when
radius is 1 unit.

A

`4pi`

B

`pi`

C

`pi`

D

`pi/2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|53 Videos

Similar Questions

Explore conceptually related problems

Find the rate of change of the area of a circle with respect to its radius r when r = 3 cm.

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

Find the rate of change of the area of a circle with respect to its radius r when r = 4 cm.

Choose the correct answer from the bracket. The rate of change of the area of a circle with respect to its radius r at r =10 cm is

Find rate of Change of area of a circle with respect to the radius,when r=10cm

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

Find rate of change of area of a circle with respect to the time when the radius is increasing at the rate 0.7 cm/s.Given that r=5cm

The rate of change of the area of a circle with respect to its radius r at r=6 cm is a) 10 pi b) 12 pi c) 8 pi d) 11 pi

Choose the correct answer The rate of change of the area of a circle w.r.t its radius r at r = 6 cm is.

BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. The slope of the normal to the curve, y^2=4x at (1,2) is

    Text Solution

    |

  2. Find the intervals in which the function 2x^3+9x^2+12x-1 is strictly i...

    Text Solution

    |

  3. The rate of change of volume of a sphere with respect to its radius wh...

    Text Solution

    |

  4. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

    Text Solution

    |

  5. The slope of the tangent to the curve given x=1-costheta,y=theta-sin...

    Text Solution

    |

  6. Find the intervals in which the function f(x)=x^2-4x+6 is strictly dec...

    Text Solution

    |

  7. Find the minimum and maximum value, if any, of the function f(x)=(2x-1...

    Text Solution

    |

  8. Which of the following function has neither local maxima nor local min...

    Text Solution

    |

  9. Find the equation of the tangent to the curve y=3x^2 at (1,1)

    Text Solution

    |

  10. Use differentiation to approximate sqrt36.6.

    Text Solution

    |

  11. Which of the following function is always increasing? a)x+sin2x b)x-s...

    Text Solution

    |

  12. The radius of a cylinder increases at a rate of 1 cm/s and its height ...

    Text Solution

    |

  13. Write the equation of tangent at (1,1) on the curve 2x^2+3y^2=5.

    Text Solution

    |

  14. Which of the following function is increasing for all values of x in i...

    Text Solution

    |

  15. Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...

    Text Solution

    |

  16. Find the maximum profit that a company can make, if the profit functio...

    Text Solution

    |

  17. Find the slope of the normal to the curve y=sintheta at theta=pi/4

    Text Solution

    |

  18. Show that the function x^3-6x^2+15x+4 is strictly increasing in R.

    Text Solution

    |

  19. Show that all rectangles with a given perimeter, the square has the ma...

    Text Solution

    |

  20. Show that the function x^3-3x^2+6x-5 is strictly increasing on R.

    Text Solution

    |