Home
Class 12
MATHS
If the volume of a sphere increase at th...

If the volume of a sphere increase at the rate of , `2pi cm^(3)//sec`, then the rate of increase of its radius (in cm/sec), when the volume is `288pi cm^(3)" is :"`

A

`1//36`

B

`1//72`

C

`1//18`

D

`1//9`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -2|69 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

The side of a square is increasing at the rate of 0.1cm/sec. Find the rate of increase of its perimeter.

The volume of cube is increasing at a rate of 9 cm^(3)//sec . Find the rate of increase of its surface area when the side of the cube is 10 cm.

The volume of a sphere is increasing at the rate of 3 cubic centimeter per second. Find the rate of increase of its surface area, when the radius is 2 cm.

The volume of a sphere is increasing at the rate of 3 cubic centimeter per second. Find the rate of increase of its surface area, when the radius is 2 cm.

The volume of a spherical balloon is increasing at a rate of 25 cm^(3)//sec . Find the rate of increase of its curved surface when the radius of balloon is 5 cm.

The radius of a spherical soap bubble is increasing at the rate of 0.2 cm/sec. Find the rate of increase of its surface area, when the radius is 7 cm.

The radius of a spherical soap bubble is increasing at the rate of 0.2 cm/sec. Find the rate of increase of its surface area, when the radius is 7 cm.

The radius of a circle is increasing at the rate of 0.5cm/sec. Find the rate of increase of its circumference.

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

The radius of a sphere (in cm) whose volume is 12 pi cm^3 , is

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -1
  1. Water is running into a conical vessel, 15 cm deep and 5 cm in radi...

    Text Solution

    |

  2. x and y are the sides of two squares such that y=x-x^(2). Find the rat...

    Text Solution

    |

  3. If the volume of a sphere increase at the rate of , 2pi cm^(3)//sec, ...

    Text Solution

    |

  4. A spherical iron ball 10cm in radius is coated with a layer of ice of ...

    Text Solution

    |

  5. An inverted cone has a depth of 10 cm and a base of radius 5 cm. Wa...

    Text Solution

    |

  6. A point source of light along a straight road is at a height of 'a' me...

    Text Solution

    |

  7. The tangent to the curve yt=xe^(x^2) passing through the point (1,e) a...

    Text Solution

    |

  8. If p1 and p2 be the lengths of perpendiculars from the origin on the ...

    Text Solution

    |

  9. In the curve x= a (cos t+ log tan(t/2)), y =a sin t. Show that the por...

    Text Solution

    |

  10. If the normal at the point t1 to the rectangular hyperbola xy=c^(2) me...

    Text Solution

    |

  11. The normal to the curve 5x^(5)-10x^(3)+x+2y+6 =0 at P(0, -3) meets the...

    Text Solution

    |

  12. If y=4x-5 is a tangent to the curve y^(2)=px^(3) +q at (2, 3), then

    Text Solution

    |

  13. The point on the curve y=x^(3) at which the tangent to the curve is pa...

    Text Solution

    |

  14. If the tangent at any point P on the curve x^m y^n = a^(m+n), mn != 0...

    Text Solution

    |

  15. Find the slope of the normal to the curve x = a cos^(3) theta, y = a s...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. Show the condition that the curves a x^2+b y^2=1 and Ax^2+By^2=1 shoul...

    Text Solution

    |

  18. The length of the normal to the curve y=a((e^(-x//a)+e^(x//a))/(2)) at...

    Text Solution

    |

  19. Find the angle of intersection of y=a^xa n dy=b^x

    Text Solution

    |

  20. Find the euation of normal to the curve x=a( cos theta + theta sin th...

    Text Solution

    |