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

If all the closed cylindrical cans (right circular), which enclose a given volume of 100 cubic centimeters. Find the dimensions of the can which has the minimum surface area.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 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.

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?

A right circular cylinder just encloses a sphere of radius r (see Fig. ). Find surface area of the sphere.

Prove that the semi-vertical angle of the right circular cone of given volume and least curved surface area is cot^-1sqrt2

A cylinderical can is to be made to hold 1 litre of oil. Find the dimensions which will minimize the cost of the metal to make the can.

Show that the height of a closed right-circular cylinder of given volume and least surface area is equal to its diameter.

Show that the right circular cone of least curved surface and given volume has an altitude equal to sqrt2 times the radius of the base.

A right circular cylinder just encloses a sphere of radius r (see Fig.). Find curved surface area of the cylinder.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Show that the rectangle of maximm area that can be inscribed in a circ...

    Text Solution

    |

  2. Show that the right circular cylinder of given surface and maximum vol...

    Text Solution

    |

  3. If all the closed cylindrical cans (right circular), which enclose a g...

    Text Solution

    |

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

    Text Solution

    |

  5. Prove that volume of largest cone, which can be inscribed in a sphere,...

    Text Solution

    |

  6. Show that the right circular cone of least curved surface and given vo...

    Text Solution

    |

  7. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

  8. Show that semi-vertical angle of right circular cone of given surface ...

    Text Solution

    |

  9. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

    Text Solution

    |

  10. For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:

    Text Solution

    |

  11. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

    Text Solution

    |

  12. Using differentials, find an approximate value of each of the followin...

    Text Solution

    |

  13. Using differentials, find an approximate value of each of the followin...

    Text Solution

    |

  14. Show that the function given by f(x) = (logx)/x has maximum at x=e

    Text Solution

    |

  15. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |

  16. Find the slope of the normal to curve xy = 6 at point (1,6)

    Text Solution

    |

  17. Show that the normal at any point theta to the curve x = a cos theta +...

    Text Solution

    |

  18. Find the intervals in which the function f given by f(x) = (4 sinx-2x-...

    Text Solution

    |

  19. Find the intervals in which the function f given by f(x) = (4 sinx-2x-...

    Text Solution

    |

  20. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

    Text Solution

    |