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An open tank with a square base and vert...

An open tank with a square base and vertical sides is to be constructed form a metal sheet so as to hold a given quantity of water. Show that the cost of material will be least when depth of tank is half its width. If the cost is to be borne by nearby settled lower income families, for whom water will be provided, what kind of value is hidden in the question

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NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6g
  1. Find two numbers whose sum is 12 and the product of the square of one ...

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  2. Divide 15 into two parts such that product of square of one part and c...

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  3. (i) The two sides of a rectangle are x units and (10 - x) units. For w...

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  4. about to only mathematics

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  5. If the surface area of an open cylinder is 100 cm^(2), prove that it...

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  6. An open tank with a square base and vertical sides is to be constructe...

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  7. Show that the height of a closed right circular cylinder of given s...

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  8. The base of a cuboid is square and its volume is given. Show that its...

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  9. Show that the least cloth is required to construct a conical tent of g...

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  10. Show that the height of a cone of maximum volume inscribed in a sphare...

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  11. Find the area of the greatest isosceles triangle that can be inscri...

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  12. The volume of a closed square based rectangular box is 1000 cubic metr...

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  13. Show that height of the cylinder of greatest volume which can be in...

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  14. The sum of the perimeters of a square and a circle is given. Show that...

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

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  16. The stiffness of a beam of rectangular cross-section varies as the pr...

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  17. The fuel charges for running a train are proportional to the square of...

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  18. The conbined resistance R of two resistors R,& R(2)(R(1),R(2) gt 0) i...

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  19. Prove that the area of right-angled triangle of given hypotenuse is...

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

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