Home
Class 11
MATHS
An open tank is to be constructed with a...

An open tank is to be constructed with a square base and vertical sides to hold a given capacity of water . The expense of lining the tank with lead is least when the ratio of the depth and the width is

A

`1:1`

B

`1:2`

C

`2:1`

D

`1:3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|6 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (MATRIX MATCHING TYPE QUESTIONS)|3 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (INTEGER TYPE QUESTIONS)|3 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

An open recangular tank with a square base and 32 c.c of capacity has least surface aren in sq. cms is

There are two holes one each along the opposite sides of a wide rectangular tank. The cross-section of each hole is 0.01 m^2 and the vertical distance between the holes is 1 m. The tank is filled with water. The net force on the tank in newton when the water flows out of the holes is (Density of water = 1000 kgm^(-3) )

A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water, the quantities of water flowing out per second from the two holes are the same. The value of R is

A tank with rectangular base and rectangular side, open at the top is to be constructed so that its depth is 2m and volume is 8m^(3) . If building of tank costs Rs. 70 per sq metres for the base and Rs. 45 per square metre for sides. What is the cost of least expensive tank ?

A tank with vertical walls is mounted so that its base is at a height H above the horizontal ground. The tank is filled with water to a depth h. A hole is punched in the side wall of the tank at depth x below the water surface. To have maximum range of the emerging stream, the value of x is

AAKASH SERIES-MAXIMA AND MINIMA -LECTURE SHEET (EXERCISE -II) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The volume of the greatest cylinder which can be inscribed in a cone o...

    Text Solution

    |

  2. An open recangular tank with a square base and 32 c.c of capacity has ...

    Text Solution

    |

  3. A box is made from a piece of metal sheet 24 cms square by cutting equ...

    Text Solution

    |

  4. An open tank is to be constructed with a square base and vertical side...

    Text Solution

    |

  5. A bell tent consists of a conical portion above a cylinder portion nea...

    Text Solution

    |

  6. A rectangle is inscribed in a equilaternal triangle of side length 2a ...

    Text Solution

    |

  7. Tangents are drawn to the circle x^(2) + y^(2) = 16 from the point ...

    Text Solution

    |

  8. The laregest area of a trapezium inscibed in a semi - circle of radius...

    Text Solution

    |

  9. In a DeltaABC, if angleB=90^(@) and a+b=4 and are of triangle is maxi...

    Text Solution

    |

  10. The maximum area of the rectangle whose sides pass through the vertic...

    Text Solution

    |

  11. A straight line through the point (3,4) in the first quadrant meets th...

    Text Solution

    |

  12. Through the point (2,3) ,a straight line is drawn making, positive int...

    Text Solution

    |

  13. The least intercept made by the coordinate axes on a tangent to the el...

    Text Solution

    |

  14. A rod AB os length 10 cms slides between two perpendicular lines OX ,O...

    Text Solution

    |

  15. The maximum distance of the the normal to the ellipse (x^(2))/(9)+(y^...

    Text Solution

    |

  16. The area of the rectangle of maximum area inscribed in the ellipse (x^...

    Text Solution

    |

  17. The maximum area of a right angled triangle with hypotenuse h is

    Text Solution

    |

  18. Let 'P' be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

    Text Solution

    |

  19. Find the point on the curve y^2=4x which is nearst to the point (2,1)

    Text Solution

    |

  20. The minimum distance of a point on the curve y=x^(2)-4 from the origin...

    Text Solution

    |