 Hello and welcome to the session, let us understand the following question which says show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius r in volume. Now let's proceed on to the solution. Look at the figure for the question. Let h be the height of the cylinder that is a b is equal to h and r be the radius of the cylinder that is denoted by radial that is small r. R be the radius of the sphere. Then in triangle OP be the radius of the cylinder that is denoted by radial that is small r.