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.

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 sheet required is minimum.

An open tank with a square base and vertical sides is to be constructed from a metal sheet so as to hold a given quantity of water.Show that the cost of the material will be least when depth of the tank is half of its width.

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

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

An open tank with a square base and vertical sides is to be constructed from a metal sheet so as to hold a given quantity of water. Show that the cost of the material will be least when the depth of the tank is half of its width.

A cylindrical open water tank with a circular base is to be made out of 30 sq metres of metal sheet. Find the dimensions so that it can hold maximum water. (Neglect thickness of sheet).

A closed cylindrical tank of radius 7m and height 3m is made from a sheet of metal.How much sheet of metal is required?

A closed cylindrical tank of radius 7m and height 3m is made from a sheet of metal.How much sheet of metal is required?