Home
Class 12
MATHS
A spherical iron ball 10 cm in radius is...

A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of `50 cm^(3)//min.` When the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases, is:

A

`1//54pi` cm/min

B

`5//6pi` cm/min

C

`1//36 pi` cm/min

D

`1//8pi` cm/min

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s B-Architecture Entrance Examination Papers|27 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

A spherical iron ball 10cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of 50cm^(3)/min .When the thickness of ice is 5cm ,then find the rate at which the thickness of ice decreases.

A spherical iron ball 10 cm in radius is coated with a layer of ice of unirform thichness that melts at a rate of 50cm^3 /min. when the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases, is

A spherical iron ball of radius 10cm, coated with a layer of ice of uniform thickness, melts at a rate of 100 pi cm^(3) // min.The rate at which the thickness decreases when the thickness of ice is 5 cm, is

A spherical ball of radius 10cm is enclosed by ice of iniform thickness in spherical shape.If ice melts at the rate of 50cm^(3)/min then the rate of decrease of thickness of ice when thickness of ice is 5cm is

A sphere of 10cm radius has a uniform thickness of ice around it. Ice is melting at rate 50 cm^3//min when thickness is 5cm then rate of change of thickness

A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder.

A copper rod of diameter 2 cm and length 10 cm is drawn into a wire of uniform thickness and length 10 m. Find the thickness of the wire.

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Question for Previous Year.s AIEEE/JEE Main Paper
  1. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

    Text Solution

    |

  2. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

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

    Text Solution

    |

  4. The function f(x)=x/2+2/x has a local minimum at x=2 (b) x=-2 x=0 (...

    Text Solution

    |

  5. A value of c for which the conclusion of Mean value theorem holds for ...

    Text Solution

    |

  6. The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...

    Text Solution

    |

  7. Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0...

    Text Solution

    |

  8. Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only re...

    Text Solution

    |

  9. Let f:""RvecR be defined by f(x)""={k-2x , if""xlt=-1 2x+3,f""x >-1} ....

    Text Solution

    |

  10. The curve that passes through the point (2, 3) and has the property ...

    Text Solution

    |

  11. Let be a function defined by f(x)={{:(tanx/x", "x ne0),(1", "x...

    Text Solution

    |

  12. Let a, b R be such that the function f given by f(x)""=""ln""|x|""+""...

    Text Solution

    |

  13. A spherical balloon is filled with 4500p cubic meters of helium gas...

    Text Solution

    |

  14. The cost of running a bus from A to B, is Rs. (av + b/v), where v km/h...

    Text Solution

    |

  15. If the surface area of a sphere of radius r is increasing uniformly at...

    Text Solution

    |

  16. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

    Text Solution

    |

  17. The maximum area of a right angled triangle with hypotenuse h is

    Text Solution

    |

  18. Statement-1: The equation x log x= 2-x is satisfied by at least one va...

    Text Solution

    |

  19. Statement 1 : The function x^2 (e^x+e^-x) is increasing for all x> 0 S...

    Text Solution

    |

  20. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |