Home
Class 12
MATHS
A closed right circular cylinder has vol...

A closed right circular cylinder has volume `2156cm^(3)` . What will be the radius of its base so that its total surface area is minimum ?

Text Solution

Verified by Experts

The correct Answer is:
7 cm
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination A|5 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination B|5 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise EXERCISE Short Answer Type Questions|42 Videos
  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016 )|1 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

Similar Questions

Explore conceptually related problems

The radius of sphere is 3.5 cm Find its surface area and volume .

The height of a right circular cylinder is 12 cm and the diameter of the base is 7 cm. Find the area of its total surface.

The height of a right circular cylinder is 4 metres and the radius of its base is 3 metres. Find the area of its curved surface.

The height of a right circular cone is 21 cm and the radius of its base is 12 cm. Its volume is :

Write True or False If the length of the radius of a right circular cylinder is doubled and height is halved , then lateral surface area is equal to the lateral surface area of the original cylinder.

A right circular cylinder has base radius 14 cm and height 21 cm. Find its area of base (or area of each end)

The ratio of the height and radius of base of a right circular cone is 4:3 . What changes will be occured in the total surface area of the cone if its height and radius of base be doubled ?

If the length of the radius of a right circular cylinder is doubled and height is halved, then its lateral surface area will be

A right circular cylinder has base radius 14 cm and height 21 cm. Find its volume.

The volume of a cylinder is 308 cm ^(3) . Its heights is 8cm . Find its lateral surface area and total surface area.

CHHAYA PUBLICATION-MAXIMA AND MINIMA -EXERCISE Long Answer Type Questions
  1. The length of the hypotenuse of a right angled triangle is a Find the ...

    Text Solution

    |

  2. The length of the hypotenuse of a right angled triangle is a Find the ...

    Text Solution

    |

  3. A box with square top and bottom is to be made to contain 250 cm^(3) M...

    Text Solution

    |

  4. A firm produces x units of output per week at a total cost of Rs. ((1)...

    Text Solution

    |

  5. A radio manufacturer produces x sets per week at a total cost of Rs. (...

    Text Solution

    |

  6. Prove that the triangle of maximum area that can be incsribed in a giv...

    Text Solution

    |

  7. A figure consists of a semi - circle with a rectangle on its diameter...

    Text Solution

    |

  8. Show that the height of the cylinder of maximum volume that can be in...

    Text Solution

    |

  9. An open box with a square base is to be made out of a given quantity o...

    Text Solution

    |

  10. A wire of length 28 m is to be cut into two pieces . One of the pieces...

    Text Solution

    |

  11. A closed right circular cylinder has volume 2156cm^(3) . What will be...

    Text Solution

    |

  12. Show that the height of the cone of maximum volume that can be inscrib...

    Text Solution

    |

  13. Show that the surface area of a closed cuboid with square base and giv...

    Text Solution

    |

  14. Manufacturer can sell x items at a price of Rs. (5-(x)/(100)) each . T...

    Text Solution

    |

  15. Show that the maximum volume of the cylinder which can be inscribed in...

    Text Solution

    |

  16. An open box is to be made out of a piece of cardboard measuring (24cmx...

    Text Solution

    |

  17. If the sum of the lengths of the hypotenuse and another side of a righ...

    Text Solution

    |

  18. The three sides of a trapezium are each of length 8 cm . Find the maxi...

    Text Solution

    |

  19. A straight line passing through the point (a,b) [where agt0and bgt0] ...

    Text Solution

    |

  20. Find the coordinates of the point on the curve y=(x)/(1+x^(2)) where ...

    Text Solution

    |