question_answer 83)

Show that the right circular cylinder of given surface and maximum volume is such that its height is equal to the diameter of the base. 

Answer:

Let r be the radius and h be the height at the cylinder       Given, surface area of the cylinder (A) =+       Volume of cylinder             ·                                                           Now                   is maximum when       or h = 2r        Volume of the cylinder of given surface is maximum, provided its height is equal to the diameter of its base.