Home
Class 12
MATHS
A right circular cone with radius R and ...

A right circular cone with radius R and height H contains a liquid which evaporates at a rate proportional to its surface area in contact with air (proportionality constant `=k gt 0`). Find the time after which the cone will be empty.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos
  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

A right circular cylinder has base radius 14 cm and height 21 cm. Find its total surface area.

A right circular cylinder has base radius 14 cm and height 21 cm. Find its curved surface area.

Spherical rain drop evaporates at a rate proportional to its surface area. The differential equation corresponding to the rate of change of the radius of the rain drop if the constant of proportionality is K >0 is

A right circular cone of radius x cm and of height h cm is placed on a hemisphere . Then the total surface area of the newly constructed solid object will be pi r (sqrt(h^(2) + r^(2))+ 2r) sq- cm

If the base radius and height of a right circular cone are 2R and H respectively, then the area of total surface of the cone is

The radius of a right circular cone and its height is r unit . The volume of the sphere of diameter equal to the stant height of the cone will be

The radius of a right circular cone is 7 cm at its vertical angle is 60^@ . Find the curved surface area of the cone.

If the base radius and height of a right circular cone are r and h respectively, then the volume of the cone is

The height of a right circular cone and its diameter of base equal, then the ratio of whole surface area and curved surface area will be

If the length of radius of a right circular cone be (r)/(2) unit and its slant height be 2l unit , the total surface area of if will be

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. If x(dy)/(dx)=x^(2)+y-2, y(1)=1, then y(2) equals ………………..

    Text Solution

    |

  2. If y=y(x) and it follows the relation 4x e^(x y)=y+5sin^2x , then ...

    Text Solution

    |

  3. A right circular cone with radius R and height H contains a liquid whi...

    Text Solution

    |

  4. A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2...

    Text Solution

    |

  5. Solve the differential equation x y(dx)/(y dx)=(1+y^2)/(1+x^2)(1+x+x^2...

    Text Solution

    |

  6. Statement 1 : The differential equation of all circles in a plane mu...

    Text Solution

    |

  7. In which of the following differential equation degree is not define...

    Text Solution

    |

  8. Statement 1 : Degree of the differential equation 2x-3y+2=log((dy)/(dx...

    Text Solution

    |

  9. Statement 1 : The differentia equation of the family of curves repr...

    Text Solution

    |

  10. Statement 1 : The order of the differential equation whose general s...

    Text Solution

    |

  11. Statement 1 : Order of a differential equation represents the number...

    Text Solution

    |

  12. Find the real value of m for which the substitution y=u^m will transfo...

    Text Solution

    |

  13. Each question contains statements given in two columns which have to b...

    Text Solution

    |

  14. Determine the equation of the curve passing through the origin, in ...

    Text Solution

    |

  15. Let f(x), xge0, be a non-negative continous function,and let F(x) = in...

    Text Solution

    |

  16. A hemi-spherical tank of radius 2 m is initially full of water and h...

    Text Solution

    |

  17. A curve C has the property that if the tangent drawn at any point P...

    Text Solution

    |

  18. A country has a food deficit of 10%. Its population grows continuously...

    Text Solution

    |

  19. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

    Text Solution

    |

  20. Solution of the equation cos^2x(dy)/(dx)-(tan2x)y=cos^4x, where |x|< ...

    Text Solution

    |