Home
Class 12
MATHS
Of all the closed cylindrical cans (righ...

Of all the closed cylindrical cans (right circular), of a given volume of `100 cm^3`, find the dimensions of the can which has the minimum surface area?

Text Solution

Verified by Experts

The correct Answer is:
`(50/(11))^(1//3)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE (Multiple choice questions)|3 Videos
  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE|36 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

Similar Questions

Explore conceptually related problems

Of all the closed cylindrical cans (right-circular). Which enclose a given volume of: 1228pi cubic centimeters.. Find the dimensions of the can, which has the minimum surface area.

The radius of a right circular cone is 4 cm and volume if 48picm^3 find its height.

The height of a right circular cone is 12 cm. if its volume is 100picm^3 , find its radius.

If the volume of a right circular cone of height 9 cm is 48 pi cm^3 , find the diameter of its base.

The curved surface area of a right circular cylinder of height 14 cm is 88 cm^2 . Find the diamter of the base of the cylinder.

The curved surface area of a right circular cylinder of height 21 cm is 132 cm^2. Find the diameter of the base of the cylinder.

BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE
  1. Find the point on the curve y^2 = 4x which is nearest to the point (2,...

    Text Solution

    |

  2. Find the point on the curve y^(2)=2x, which is nearest to the point (1...

    Text Solution

    |

  3. Of all the closed cylindrical cans (right circular), of a given volume...

    Text Solution

    |

  4. The radius of a spherical soap bubble is increasing at the rate of 0.5...

    Text Solution

    |

  5. The radius of a spherical roap bubble is increasing at the rate of 0.2...

    Text Solution

    |

  6. The radius of a spherical roap bubble is increasing at the rate of 0.4...

    Text Solution

    |

  7. Find the equation of the tangent to the curve y=2x^(3)+7, which is per...

    Text Solution

    |

  8. Find the equation of the tangent to the curve y=x^(2)+4x+6, which is p...

    Text Solution

    |

  9. Find the equation of the tangent to the curve x^(3)+4y=4, which is per...

    Text Solution

    |

  10. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  11. Find the intervals in the following functions are strictly increasing ...

    Text Solution

    |

  12. Find the intervals in the following functions are strictly increasing ...

    Text Solution

    |

  13. Use differentials to approximate sqrt(25.3)

    Text Solution

    |

  14. Use differentials to approximate 3sqrt(26)

    Text Solution

    |

  15. Use differentials to approximate sqrt(0.60)

    Text Solution

    |

  16. A wire of length 28 m is to be cut into two pieces, one of the pieces ...

    Text Solution

    |

  17. Using differentials to approximate 3sqrt0.009

    Text Solution

    |

  18. The radius of a circle is increasing uniformly at the rate of 5cm/sec....

    Text Solution

    |

  19. Find the equations of the tangent and normal to the hyperbola x^2/a^2 ...

    Text Solution

    |

  20. Find the equation of tangent and normal to the hyprobola x^(2)=4y at (...

    Text Solution

    |