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 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

Two transparent slabs having equal thickness but different refractive indices mu_1 and mu_2 , are pasted side by side to form a composite slab. This slab is placed just after the double slit in a Young's experiment so that the light from one slit goes through one material and the light from the other slit goes through the other material. What should be the minimum thickness of the slab so that there is a minimum at the point P_0 which is equidistant from the slits ?

A lipuid is poured into a cylindrical vessel of height H and mass M. to what height a liquid of density p should be poured so that the centre of gravity of the vessel + kuqyud ' sustem mat be at the minimum height from the bottom . Negalect the mass of the bottom .the area of cross - section of the vessel of A .

What material should be used to make the lid opener?

A cylindrical container is to be made from certain solid material with the following constraints: It has a fixed inner volume of V mm^3 , has a 2 mm thick solid wall and is open at the top. The bottom of the container is a solid circular disc of thickness 2 mm and is of radius equal to the outer radius of the container. If the volume of the material used to make the container is minimum when the inner radius of the container is 10 mm, then the value of V/(250 pi) is

A manufacturer plans to construct a cylindrical can to hold one cu m of liquid.If the cost of constructing the top and bottom of the can is twice the cost of constructing the sides,what are the dimensions of the most economical can?

A cylindrica container is to be made from certain solid material with the following constraints: It has a fixed inner volume of V m^3, has a 2 mm thick solid wall and is open at the top. The bottom of the container is a solid circular disc of thickness 2mm and is of radius equal to the outer radius of the container. If the volume the material used to make the container is minimum when the inner radius of the container is 10 mm. then the value of V/(250 pi) is