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 `50cm^3//min`. When the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases is

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

A spherical iron ball of radius 10 cm is coated with 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 (in cm/ min unit) decreases, is-

The radius of a circular plate is increasing at the rate of 0.01 cm/s when the radius is 12 cm. Then the rate at which the area (in cm^(2)//s ) increases is -

The radius of a circle is increasing uniformly at the rate of 3 cm/s. Find the rate at which the area of the circle is increasing when the radius is 10 cm.

A metallic sphere of radius 4 mm sinks in water. If it is coated with wax of a uniform thickness of 3 mm, it can just float in water. If the density of wax is 0.8g*cm^(-3) , then what will be the density of the metal?

If the external dimeter of a hollow iron-sphere be 12cm and the thickness of it be 3cm , then what will be the volume of the sphere?

If the radius of a circle changes at a uniform rate of 2 cm/s, find the rate of change of area of the circle, at the instant when the radius is 20 cm.

The radius of a circle is increasing at a rate of 2.5 cm/sec. Find the rate of increase of the area of the circle when its radius is 5cm.

The sides of an equilateral triangle are increasing at the rate of 2 cm//s ., then the rate at which the area (in cm^(2)//s ) increases when the side is 10 cm , is-

Volume of a right circular cone is 100"cm"^(3) . The radius of the base of the cone increases at the constant rate of 1 cm/sec keeping volume of the cone unchanged. Find the rate of change of the height of he cone when radius is 10cm.

A hollow sphere of external radius 5 cm and of same thickness is made by melting a solid sphere of radius 4cm , then what will be the thickness of the hollow sphere

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. x and y are the sides of two squares such that y=x-x^2 Find the rate o...

    Text Solution

    |

  2. Discuss the extremum of f(x)=sinx+1/2sin2x+1/3sin3x ,0lt=xlt=pidot

    Text Solution

    |

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

    Text Solution

    |

  4. How many roots of the equation 3x^(4) + 6x^(3) + x^(2) + 6x + 3 = 0 ar...

    Text Solution

    |

  5. Two cyclists start from the junction of two perpendicular roads, there...

    Text Solution

    |

  6. Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and ...

    Text Solution

    |

  7. Tangent of an angle increases four times as the angle itself. At what ...

    Text Solution

    |

  8. Discuss the extremum of f(x)=1/3(x+1/x)

    Text Solution

    |

  9. Let g(x)=f(x)+f(1-x) and f''(x)>0AAx in (0,1)dot Find the intervals of...

    Text Solution

    |

  10. Discuss the extremum of f(x)=x(x^2-4)^(-1/3)

    Text Solution

    |

  11. A hours runs along a circle with a speed of 20 km/hr. A lantern is at ...

    Text Solution

    |

  12. A running track of 440 ft is to be laid out enclosing a football field...

    Text Solution

    |

  13. Let x be the length of one of the equal sides of an isosceles triangle...

    Text Solution

    |

  14. The lengths of the medians through acute angles of a right-angled tr...

    Text Solution

    |

  15. If water is poured into an inverted hollow cone whose semi-vertical ...

    Text Solution

    |

  16. A point on the hypotenuse of a triangle is at distance a and b from ...

    Text Solution

    |

  17. If f:[-5,5]vecR is differentiable function and iff^(prime)(x) does not...

    Text Solution

    |

  18. Rectangles are inscribed inside a semi-circle of radius rdot Find the ...

    Text Solution

    |

  19. Discuss the applicability of Rolles theorem for the following functi...

    Text Solution

    |

  20. Find the distance covered by a car in 2(2/5) hours at a speed of 46(2/...

    Text Solution

    |