Home
Class 12
MATHS
A square-based tank of capacity 250 cu m...

A square-based tank of capacity 250 cu m has to bedug out. The cost of land is Rs 50 per sq m. The cost of digging increases with the depth and for the whole tank the cost is Rs `400 xx (depth)^2`. Find the dimensions of the tank for the least total cost.

Promotional Banner

Topper's Solved these Questions

  • Maxima and Minima

    A DAS GUPTA|Exercise EXERCISE|59 Videos

  • Main Tests

    A DAS GUPTA|Exercise Exercise|8 Videos

  • Miscellaneous Exercises

    A DAS GUPTA|Exercise Exercise|77 Videos

Similar Questions

Explore conceptually related problems

The ratio of the costs of two vehicles is 3:2 and the total cost of the two vehicles is Rs. 50,000. Find the individual costs of the vehicles.

The length of a room is 3 times its height and breadth is 1(1)/(2) times its height.The cost of whitewashing the walls at the rate of Rs. 71.50 per sq.m is Rs.216. Find the dimensions of the room.

The length of a room is 50 per cent more than its breadth.The cost of carpeting the room at the rate of Rs38.50m^(2) is Rs924 and the cost of painting the walls at the rate of Rs 5.50 per m^(2) is 1,320. Find the dimensions of the room.

Find the cost of digging a cuboidal pit 8m long,6m broad and 3m deep at the rate of Rs30 per m^(3)

Find the cost of digging a cuboidal pit 8m long,6m broad and 3m deep at the rate of Rs*30 per m^(3)

The cost of painting if four walls of a room 12 m long at Rs. 30 per m^(2) is Rs. 7560 and th cost of covering the floor with mat at Rs. 25 per m^(2) is Rs. 2700 .Find the dimensions of the room .

The dimensions of a rectangular box are inthe ratio of 2:3:4 and the differencebetween the cost of covering it with sheet of paper at the rates of Rs 8 and Rs 9.50 per m2is Rs 1248. Find the dimensions of the box.

A rectangular plot of land is 240m by 200m . The cost of fencing per meter is Rs 30.what is the cost of fencing the entire field?

A DAS GUPTA-Maxima and Minima-EXERCISE
  1. It is desired to construct a cylindrical vessel of capacity 500 cu m, ...

    Text Solution

    |

  2. A manufacturer plans to construct a cylindrical can to hold one cu m o...

    Text Solution

    |

  3. A square-based tank of capacity 250 cu m has to bedug out. The cost of...

    Text Solution

    |

  4. A box without lid having maximum volume is made out of square metal sh...

    Text Solution

    |

  5. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  6. Show that the cone of the greatest volume which can be inscribed in a ...

    Text Solution

    |

  7. Prove that the cone, circumscribing a sphere of radius r, has the mini...

    Text Solution

    |

  8. Prove that the radius of the right circular cylinder of greatest cu...

    Text Solution

    |

  9. A tree trunk I metres long, is in the shape of a frustum of a cone, th...

    Text Solution

    |

  10. A swimmer S is in the sea at a distance dk m from the closest point A ...

    Text Solution

    |

  11. A private telephone company serving a small community makes a profit o...

    Text Solution

    |

  12. A factory D is to be connected by a road with a straight railway line ...

    Text Solution

    |

  13. Fill in the blanks. f(x) =x^2 +ax^-1 will have a minimum at x=2 if a =

    Text Solution

    |

  14. What is the area of the largest triangle that can be inscribed in a se...

    Text Solution

    |

  15. x and y be two variables such that xgt0 and xy=1. Then the minimum val...

    Text Solution

    |

  16. The value of a so that the sum of the squares of the roots of the equa...

    Text Solution

    |

  17. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  18. The total cost of making n pocket radios per day is Rs{(n^2)/4 +35n + ...

    Text Solution

    |

  19. A telephone company in a town has 500 subscribers on its list and c...

    Text Solution

    |

  20. If P(x) = a 0 + a 1 x ^(2) + a 2 x^(4) + … + a n x ^(2n) is a polyn...

    Text Solution

    |