A sheet of area `40m^2` is used to make an open tank with square base. Find the dimensions of the base such that the volume of this tank is maximum.

An open cylindrical tank whose base is a circle is to be constructed of metal sheet so as to contain a volume of pi a^(3)cu.cm of water.Find the dimensions so that the quantity of metal sheet required is a minimum.

If the capacity of a cylindrical tank is 1848m^(3) and the diameter of its base is 14m, the depth of the tank is

A box with a square base is to have an open top. The surface area of the box is 192 sq. cm. What should be its dimensions in order that the volume is as large as possible ?

If the dimensions of water tank are 12.5m,4m,6m, then the volume of water it can hold in litres is

From a metal sheet of area 192 sq. cm, a box with square base and open top is made. For maximum volume of box its dimensions are

A box is made with square base and open top. The area ofthe material used is 192sq.cms. If the volume of the box is maximum,the dimensions of the box are

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 400xx(depth)^(2). Find the dimensions of the tank for the least total cost.