It is desired to construct a cylindrical vessel of capacity `500 cu m`, open at the top. What should be the dimensions of the vessel so that the material used is minimum, given that the thickness of the material used is `2 cm`?

It is desired to construct a cylindrical vessel of capacity 500cum, open at the top.What should be the dimensions of the vessel so that the material used is minimum,given that the thickness of the material used is 2cm?

A cylindrical vessel of capacity 500 cubic metres open at the top is to be constructed. Find the dimensions of the vessel if the material used is minimum given that the thickness of the material used is 2 cm.

If a cylindrical vessel of given volume V with non lid on the top is to be made from a sheet of metal, then the radius (r) and height (h) of the vessel so that the metal sheet used is minimum is

A right cylindrical vessel of a given capacity is formed using least possible material.Then the ratio of the height to the radius of the base is

A rectangular page is to contain 24cm^(2) of print. The margins at the top and bottom of the page are 1.5 cm and the margins at other sides of the page is 1 cm. What should be the dimensions of the page so that the area of the paper used is minimum.